Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
a(a−2)(a+2)
Evaluate
a3−4a
Factor out a from the expression
a(a2−4)
Solution
More Steps
Evaluate
a2−4
Rewrite the expression in exponential form
a2−22
Use a2−b2=(a−b)(a+b) to factor the expression
(a−2)(a+2)
a(a−2)(a+2)
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Find the roots
a1=−2,a2=0,a3=2
Evaluate
a3−4a
To find the roots of the expression,set the expression equal to 0
a3−4a=0
Factor the expression
a(a2−4)=0
Separate the equation into 2 possible cases
a=0a2−4=0
Solve the equation
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Evaluate
a2−4=0
Move the constant to the right-hand side and change its sign
a2=0+4
Removing 0 doesn't change the value,so remove it from the expression
a2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±4
Simplify the expression
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Evaluate
4
Write the number in exponential form with the base of 2
22
Reduce the index of the radical and exponent with 2
2
a=±2
Separate the equation into 2 possible cases
a=2a=−2
a=0a=2a=−2
Solution
a1=−2,a2=0,a3=2
Show Solution