Factor out the common factor
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Factor out the common factor.
(5x - 2)2 + (5x - 2)
Completely factor the expression.
x4 - 3x3 + x2 - 3x
Write the rational expression in simplest form.
4x2y
xy - y
Write the rational expression in simplest form.
9x2 + 9x
8x + 8
Write the rational expression in simplest form.
x2 - 9
3 - x
Perform the multiplication and simplify.
x + 4
x3(9 - x)
· x(x - 9)
13
Perform the division and simplify.
3y - 12
8y + 24
÷ 4 - y
5y + 15
Factor the expression by removing the common factor with the smaller exponent. (Factor your answer completely.)
x5 - 3x-4
Factor the expression by removing the common factor with the smaller exponent. (Factor your answer completely.)
4x(x - 8)-6 - 12x2(x - 8)-7
Divide and simplify. See Examples 6-8.
x2 + 16
3(x + 7)
÷ x + 4
3(x2 - 49)
, x ≠ ±7
Insert the required factor in the parentheses.
3x6
4
= 3
4
( )
Insert the required factor in the parentheses.
5
7
x + 1
2
= 1
7
( )
Insert the required factor in the parentheses.
3(6x + 1)x1/2 + 4x3/2
STEP 1: Factor out x1/2.
x1/2(3( ) + )
STEP 2: Combine like terms.
x1/2(_ )
Write the following expression using negative exponents.
x + 5
x(2-x)1/3
Write the fraction as a sum of two or more terms.
x10 - 5x7 + 6
x2
Simplify the expression.
x5(-2)(x2 + 3)-4(2x) - (x2 + 3)-3(2)x4
(x5)2
Simplify the expression.
(4x - 1)1/2 - (x + 2)(4x - 1)-1/2
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Solution Summary
The expert factors out the common factor.
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Factor out the common factor.
(5x - 2)2 + (5x - 2)
Completely factor the expression.
x4 - 3x3 + x2 - 3x
Write the rational expression in simplest form.
4x2y
xy - y
Write the rational expression in simplest form.
9x2 + 9x
8x + 8
Write the rational expression in simplest form.
x2 - 9
3 - x
Perform the multiplication and simplify.
x + 4 ...
Purchase this Solution
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