Question
Factor the expression
(h−4)(h+4)(h2+16)
Evaluate
h4−256
Rewrite the expression in exponential form
(h2)2−(25621)2
Use a2−b2=(a−b)(a+b) to factor the expression
(h2−25621)(h2+25621)
Evaluate
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Evaluate
h2−25621
Calculate
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Evaluate
−25621
Rewrite in exponential form
−(28)21
Multiply the exponents
−28×21
Multiply the exponents
−24
Evaluate the power
−16
h2−16
(h2−16)(h2+25621)
Evaluate
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Evaluate
h2+25621
Calculate
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Evaluate
25621
Rewrite in exponential form
(28)21
Multiply the exponents
28×21
Multiply the exponents
24
Evaluate the power
16
h2+16
(h2−16)(h2+16)
Solution
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Evaluate
h2−16
Rewrite the expression in exponential form
h2−42
Use a2−b2=(a−b)(a+b) to factor the expression
(h−4)(h+4)
(h−4)(h+4)(h2+16)
Show Solution

Find the roots
h1=−4,h2=4
Evaluate
h4−256
To find the roots of the expression,set the expression equal to 0
h4−256=0
Move the constant to the right-hand side and change its sign
h4=0+256
Removing 0 doesn't change the value,so remove it from the expression
h4=256
Take the root of both sides of the equation and remember to use both positive and negative roots
h=±4256
Simplify the expression
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Evaluate
4256
Write the number in exponential form with the base of 4
444
Reduce the index of the radical and exponent with 4
4
h=±4
Separate the equation into 2 possible cases
h=4h=−4
Solution
h1=−4,h2=4
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