Question
Factor the expression
16(a−3)(a+3)
Evaluate
16a2−144
Factor out 16 from the expression
16(a2−9)
Solution
More Steps

Evaluate
a2−9
Rewrite the expression in exponential form
a2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(a−3)(a+3)
16(a−3)(a+3)
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Find the roots
a1=−3,a2=3
Evaluate
16a2−144
To find the roots of the expression,set the expression equal to 0
16a2−144=0
Move the constant to the right-hand side and change its sign
16a2=0+144
Removing 0 doesn't change the value,so remove it from the expression
16a2=144
Divide both sides
1616a2=16144
Divide the numbers
a2=16144
Divide the numbers
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Evaluate
16144
Reduce the numbers
19
Calculate
9
a2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±9
Simplify the expression
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Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
a=±3
Separate the equation into 2 possible cases
a=3a=−3
Solution
a1=−3,a2=3
Show Solution
