Question
Factor the expression
4(a−8)(a+8)
Evaluate
4a2−256
Factor out 4 from the expression
4(a2−64)
Solution
More Steps

Evaluate
a2−64
Rewrite the expression in exponential form
a2−82
Use a2−b2=(a−b)(a+b) to factor the expression
(a−8)(a+8)
4(a−8)(a+8)
Show Solution

Find the roots
a1=−8,a2=8
Evaluate
4a2−256
To find the roots of the expression,set the expression equal to 0
4a2−256=0
Move the constant to the right-hand side and change its sign
4a2=0+256
Removing 0 doesn't change the value,so remove it from the expression
4a2=256
Divide both sides
44a2=4256
Divide the numbers
a2=4256
Divide the numbers
More Steps

Evaluate
4256
Reduce the numbers
164
Calculate
64
a2=64
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±64
Simplify the expression
More Steps

Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
a=±8
Separate the equation into 2 possible cases
a=8a=−8
Solution
a1=−8,a2=8
Show Solution
