Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−6)(x+6)
Evaluate
x3−36x
Factor out x from the expression
x(x2−36)
Solution
More Steps
Evaluate
x2−36
Rewrite the expression in exponential form
x2−62
Use a2−b2=(a−b)(a+b) to factor the expression
(x−6)(x+6)
x(x−6)(x+6)
Show Solution
Find the roots
x1=−6,x2=0,x3=6
Evaluate
x3−36x
To find the roots of the expression,set the expression equal to 0
x3−36x=0
Factor the expression
x(x2−36)=0
Separate the equation into 2 possible cases
x=0x2−36=0
Solve the equation
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Evaluate
x2−36=0
Move the constant to the right-hand side and change its sign
x2=0+36
Removing 0 doesn't change the value,so remove it from the expression
x2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±36
Simplify the expression
More Steps
Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
x=±6
Separate the equation into 2 possible cases
x=6x=−6
x=0x=6x=−6
Solution
x1=−6,x2=0,x3=6
Show Solution