Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
a(a−1)(a+1)
Evaluate
a3−a
Factor out a from the expression
a(a2−1)
Solution
More Steps
Evaluate
a2−1
Rewrite the expression in exponential form
a2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(a−1)(a+1)
a(a−1)(a+1)
Show Solution
Find the roots
a1=−1,a2=0,a3=1
Evaluate
a3−a
To find the roots of the expression,set the expression equal to 0
a3−a=0
Factor the expression
a(a2−1)=0
Separate the equation into 2 possible cases
a=0a2−1=0
Solve the equation
More Steps
Evaluate
a2−1=0
Move the constant to the right-hand side and change its sign
a2=0+1
Removing 0 doesn't change the value,so remove it from the expression
a2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±1
Simplify the expression
a=±1
Separate the equation into 2 possible cases
a=1a=−1
a=0a=1a=−1
Solution
a1=−1,a2=0,a3=1
Show Solution