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Solved Examples
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f   Simplify:
1(x + 2) + (x - 3)(x + 2)
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f   Simplify:
3x2x2 - 36 + - 2x(x - 3)x2 - 36
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f   Add 3x and 1 - xx.
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f   Simplify:
x2 + 3(3 -x4) - x2 -  4(3 -x4)   f
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f   Simplify:
7 - xx + 3 + 4x + 3   f
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f   Simplify:
919x + (x + 9)19x
   f
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f   Simplify:
(9a295)(2a+3a)   f
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f   Simplify:
(2c-117c+87c) ÷ (7c16c-24)   f
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f   Find the expression for the perimeter of the rectangle shown, where a = 10, b = 4.
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f   Find the expression for the perimeter of triangle shown, where h = 4, a = 8, b = 4, c = 9.
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f   Which of the following expressions can be simplified to y + 6?
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f   Simplify:
25z25z+8-645z+8
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f   Simplify:
20b2+205b-4-41b5b-4   f
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f   Simplify:
12x + 53x2 + 4x - 60 - 6x - 7x2 + 4x - 60
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f   Simplify:
x2 - 4xx2 - 5x + 4 + 5x2 - 20xx2 - 5x + 4
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f   Simplify:
9 - x18x - 9 + x18x   f
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f   Simplify:
x + 1x + 3 - x - 1x + 3
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f   Simplify:
15x2x2 - 3 + 52x2 - 3   f
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f   Simplify:
4x31 -x2 + 7x - 431 -x2
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f   Simplify:
6 - 9x23x3 + 3x2 - 63x3
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f   Simplify:
x2 + 3x4 - 3 -x2x4   f
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f   Simplify:
5x336x2 - x336x2   f
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f   Simplify:
x2 + 2x5 - x2 - 5x5
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f   Simplify:
6x - 7x2 - 10x + 25 - 5x - 2x2 - 10x + 25   f
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f   Simplify:
- 2xx2 + x - 56 + 9x - 49x2 + x - 56   f
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f   Simplify:
10x - 66x - 30 + 8x + 76x - 30 - 5x + 666x - 30   f
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f   Simplify:
24x2x4-25x2 - 25x2 + 25xx4 - 25x2 + 5x2 + 5xx4 - 25x2   f
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f   Simplify:
x + 15x - 525x2
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f   What is the least common denominator of the rational expressions x - 23x3 and x + 29x?   f View Solution
f   To add rational expressions with like denominators, add their numerators and write the result over the _________.
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f   Simplify:
1(x + 3) + (x - 4)(x + 3)
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f   Simplify:
x2 + 5(15 -x4) - x2 -  8(15 -x4)   f
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f   Simplify:
6x2x2 - 900 + - 5x(x - 6)x2 - 900
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f   Add 5x and 3 - xx.
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f   Simplify:
11 - xx + 4 + 7x + 4   f
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f   Simplify:
37x + (x + 3)7x
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f   Simplify:
11x5x2 - 1 + 115x2 - 1   f
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f   Simplify:
8x26 -x2 + 12x - 826 -x2
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f   Simplify:
7 - 16x24x3 + 4x2 - 74x3
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f   Simplify:
x2 + 5x4 - 5 -x2x4   f
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f   Simplify:
3 - x6x - 3 + x6x   f
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f   Simplify:
x + 3x + 3 - x - 3x + 3
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f   Simplify:
5x328x2 - x328x2   f
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f   Simplify:
x2 + 3x5 - x2 - 2x5
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f   Simplify:
- 4xx2 + x - 30 + 9x - 25x2 + x - 30   f
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f   Simplify:
4x - 43x - 6 + 5x + 53x - 6 - 2x + 153x - 6   f
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f   Simplify:
4x - 5x2 - 6x + 9 - 3x - 2x2 - 6x + 9   f
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f   Simplify:
4x + 9x2 + 4x - 12 - 2x - 3x2 + 4x - 12
   f
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f   Simplify:
x2 - 2xx2 - 3x + 2 + 2x2 - 4xx2 - 3x + 2
   f
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f   Simplify:
35x2x4-36x2 - 36x2 + 36xx4 - 36x2 + 6x2 + 6xx4 - 36x2   f
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f   Find the LCD of 56x and x + 24x2.
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f   Simplify:
x + 13x - 39x2
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f   What is the least common denominator of the rational expressions x - 24x3 and x + 216x?   f View Solution
f   Which of the following expressions can be simplified to a + 2?
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f   Find the LCD of 12x and 28x3.   f View Solution
f   Find the least common denominator.
3x5x2, x36x4   f
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f   Find the least common denominator of the pair of rational expressions.
4x + 1(x + 3), 3(x + 4)
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f   Find the least common denominator of the pair of rational expressions.
x + 24x3, 2xx2
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f   Find the least common denominator.
42x2, - 36x4
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f   Find the missing numerator.
6x2x = ?4x3
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f   Find the missing numerator in the equation.
54y = ?36y2   f
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f   Find the missing numerator in the equation.
x + 4x - 3 = ?x2 - 9
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f   Find the missing numerator in the equation.
3x - 26x2 = ?12x5   f
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f   Which of the following is the simplest form of 95x+24x?   f View Solution
f   Choose the sum in its simplest form.
63x+5(- 4x)

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f   Identify the simplest form of 2x+43+x+74.   f View Solution
f   Find the sum.
415n3 + n+25n3   f
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f   Simplify the expression.
73x - 34x2   f
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f   Simplify the expression.
3x4-x + 26
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f   Find the perimeter of the isoceles triangle.
   f
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f   Simplify:
(3y270)(4y+6y)   f
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f   Simplify:
x - 23x2 - 34x   f
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f   Find the difference in simplest form.
2x4-2+ x16x   f
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f   Simplify the expression.
2x+2+xx+1   f
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f   Simplify the expression.
3x+4-54x   f
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f   Simplify the expression.
xx - 5+x + 2x + 3   f
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f   Simplify the expression.
2x + 1x + 2 + x + 1x + 3   f
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f   Simplify:
(2z-62z+32z) ÷ (2z6z-9)   f
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f   Find the expression for the perimeter of the rectangle shown, where a = 6, b = 3.
   f
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f   Simplify the expression.
3x2x-1-xx+2   f
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f   Simplify the expression.
x+3x+4-x+1x+5
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f   Find the expression for the perimeter of triangle shown, where h = 3, a = 12, b = 9, c = 15.
   f
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f   Simplify:
36b26b+9-816b+9
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f   Simplify:
72z2+729z-8-145z9z-8   f
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f   Simplify the expression.
3xx - 5+x - 4x + 3   f
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f   Simplify the expression.
3xx+3-2xx-1   f
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f   Simplify the expression.
x+3x+4-xx+5
   f
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f   Simplify the expression.
5x2x-1-2xx+2   f
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