Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−8)(x+8)
Evaluate
x3−64x
Factor out x from the expression
x(x2−64)
Solution
More Steps
Evaluate
x2−64
Rewrite the expression in exponential form
x2−82
Use a2−b2=(a−b)(a+b) to factor the expression
(x−8)(x+8)
x(x−8)(x+8)
Show Solution
Find the roots
x1=−8,x2=0,x3=8
Evaluate
x3−64x
To find the roots of the expression,set the expression equal to 0
x3−64x=0
Factor the expression
x(x2−64)=0
Separate the equation into 2 possible cases
x=0x2−64=0
Solve the equation
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Evaluate
x2−64=0
Move the constant to the right-hand side and change its sign
x2=0+64
Removing 0 doesn't change the value,so remove it from the expression
x2=64
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±64
Simplify the expression
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Evaluate
64
Write the number in exponential form with the base of 8
82
Reduce the index of the radical and exponent with 2
8
x=±8
Separate the equation into 2 possible cases
x=8x=−8
x=0x=8x=−8
Solution
x1=−8,x2=0,x3=8
Show Solution