Question
Factor the expression
(x−2)(x+2)(x2+4)
Evaluate
x4−16
Rewrite the expression in exponential form
(x2)2−(1621)2
Use a2−b2=(a−b)(a+b) to factor the expression
(x2−1621)(x2+1621)
Evaluate
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Evaluate
x2−1621
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
x2−4
(x2−4)(x2+1621)
Evaluate
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Evaluate
x2+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
x2+4
(x2−4)(x2+4)
Solution
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Evaluate
x2−4
Rewrite the expression in exponential form
x2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(x−2)(x+2)
(x−2)(x+2)(x2+4)
Show Solution

Find the roots
x1=−2,x2=2
Evaluate
x4−16
To find the roots of the expression,set the expression equal to 0
x4−16=0
Move the constant to the right-hand side and change its sign
x4=0+16
Removing 0 doesn't change the value,so remove it from the expression
x4=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±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
x=±2
Separate the equation into 2 possible cases
x=2x=−2
Solution
x1=−2,x2=2
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