Question
Factor the expression
6(4−x)(4+x)
Evaluate
96−6x2
Factor out 6 from the expression
6(16−x2)
Solution
More Steps

Evaluate
16−x2
Rewrite the expression in exponential form
42−x2
Use a2−b2=(a−b)(a+b) to factor the expression
(4−x)(4+x)
6(4−x)(4+x)
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Find the roots
x1=−4,x2=4
Evaluate
96−6x2
To find the roots of the expression,set the expression equal to 0
96−6x2=0
Move the constant to the right-hand side and change its sign
−6x2=0−96
Removing 0 doesn't change the value,so remove it from the expression
−6x2=−96
Change the signs on both sides of the equation
6x2=96
Divide both sides
66x2=696
Divide the numbers
x2=696
Divide the numbers
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Evaluate
696
Reduce the numbers
116
Calculate
16
x2=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±16
Simplify the expression
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Evaluate
16
Write the number in exponential form with the base of 4
42
Reduce the index of the radical and exponent with 2
4
x=±4
Separate the equation into 2 possible cases
x=4x=−4
Solution
x1=−4,x2=4
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