Question
Factor the expression
4(3k−8)(3k+8)
Evaluate
36k2−256
Factor out 4 from the expression
4(9k2−64)
Solution
More Steps

Evaluate
9k2−64
Rewrite the expression in exponential form
(3k)2−82
Use a2−b2=(a−b)(a+b) to factor the expression
(3k−8)(3k+8)
4(3k−8)(3k+8)
Show Solution

Find the roots
k1=−38,k2=38
Alternative Form
k1=−2.6˙,k2=2.6˙
Evaluate
36k2−256
To find the roots of the expression,set the expression equal to 0
36k2−256=0
Move the constant to the right-hand side and change its sign
36k2=0+256
Removing 0 doesn't change the value,so remove it from the expression
36k2=256
Divide both sides
3636k2=36256
Divide the numbers
k2=36256
Cancel out the common factor 4
k2=964
Take the root of both sides of the equation and remember to use both positive and negative roots
k=±964
Simplify the expression
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Evaluate
964
To take a root of a fraction,take the root of the numerator and denominator separately
964
Simplify the radical expression
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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
98
Simplify the radical 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
38
k=±38
Separate the equation into 2 possible cases
k=38k=−38
Solution
k1=−38,k2=38
Alternative Form
k1=−2.6˙,k2=2.6˙
Show Solution
