Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(a−1)(a+1)(a2+1)
Evaluate
a4−1
Rewrite the expression in exponential form
(a2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(a2−1)(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−1)(a+1)(a2+1)
Show Solution
Find the roots
a1=−1,a2=1
Evaluate
a4−1
To find the roots of the expression,set the expression equal to 0
a4−1=0
Move the constant to the right-hand side and change its sign
a4=0+1
Removing 0 doesn't change the value,so remove it from the expression
a4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±41
Simplify the expression
a=±1
Separate the equation into 2 possible cases
a=1a=−1
Solution
a1=−1,a2=1
Show Solution