Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−2)(x+2)
Evaluate
x3−4x
Factor out x from the expression
x(x2−4)
Solution
More Steps
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(x−2)(x+2)
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Find the roots
x1=−2,x2=0,x3=2
Evaluate
x3−4x
To find the roots of the expression,set the expression equal to 0
x3−4x=0
Factor the expression
x(x2−4)=0
Separate the equation into 2 possible cases
x=0x2−4=0
Solve the equation
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Evaluate
x2−4=0
Move the constant to the right-hand side and change its sign
x2=0+4
Removing 0 doesn't change the value,so remove it from the expression
x2=4
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±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
x=±2
Separate the equation into 2 possible cases
x=2x=−2
x=0x=2x=−2
Solution
x1=−2,x2=0,x3=2
Show Solution