Question
Factor the expression
(m−2)(m+2)(m2+4)
Evaluate
m4−16
Rewrite the expression in exponential form
(m2)2−(1621)2
Use a2−b2=(a−b)(a+b) to factor the expression
(m2−1621)(m2+1621)
Evaluate
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Evaluate
m2−1621
Calculate
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Evaluate
−1621
Rewrite in exponential form
−(24)21
Multiply the exponents
−24×21
Multiply the exponents
−22
Evaluate the power
−4
m2−4
(m2−4)(m2+1621)
Evaluate
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Evaluate
m2+1621
Calculate
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Evaluate
1621
Rewrite in exponential form
(24)21
Multiply the exponents
24×21
Multiply the exponents
22
Evaluate the power
4
m2+4
(m2−4)(m2+4)
Solution
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Evaluate
m2−4
Rewrite the expression in exponential form
m2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(m−2)(m+2)
(m−2)(m+2)(m2+4)
Show Solution

Find the roots
m1=−2,m2=2
Evaluate
m4−16
To find the roots of the expression,set the expression equal to 0
m4−16=0
Move the constant to the right-hand side and change its sign
m4=0+16
Removing 0 doesn't change the value,so remove it from the expression
m4=16
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±416
Simplify the expression
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Evaluate
416
Write the number in exponential form with the base of 2
424
Reduce the index of the radical and exponent with 4
2
m=±2
Separate the equation into 2 possible cases
m=2m=−2
Solution
m1=−2,m2=2
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