Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−2)(x+2)(x2+4)
Evaluate
x4−16
Use a2−b2=(a−b)(a+b) to factor the expression
(x2−4)(x2+4)
Solution
(x−2)(x+2)(x2+4)
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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
More Steps
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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