Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
x(x−3)(x+3)
Evaluate
x3−9x
Factor out x from the expression
x(x2−9)
Solution
More Steps
Evaluate
x2−9
Rewrite the expression in exponential form
x2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(x−3)(x+3)
x(x−3)(x+3)
Show Solution
Find the roots
x1=−3,x2=0,x3=3
Evaluate
x3−9x
To find the roots of the expression,set the expression equal to 0
x3−9x=0
Factor the expression
x(x2−9)=0
Separate the equation into 2 possible cases
x=0x2−9=0
Solve the equation
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Evaluate
x2−9=0
Move the constant to the right-hand side and change its sign
x2=0+9
Removing 0 doesn't change the value,so remove it from the expression
x2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±9
Simplify the expression
More Steps
Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
x=±3
Separate the equation into 2 possible cases
x=3x=−3
x=0x=3x=−3
Solution
x1=−3,x2=0,x3=3
Show Solution