Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(u−1)(u+1)(u2+1)
Evaluate
u4−1
Rewrite the expression in exponential form
(u2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(u2−1)(u2+1)
Solution
More Steps
Evaluate
u2−1
Rewrite the expression in exponential form
u2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(u−1)(u+1)
(u−1)(u+1)(u2+1)
Show Solution
Find the roots
u1=−1,u2=1
Evaluate
u4−1
To find the roots of the expression,set the expression equal to 0
u4−1=0
Move the constant to the right-hand side and change its sign
u4=0+1
Removing 0 doesn't change the value,so remove it from the expression
u4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
u=±41
Simplify the expression
u=±1
Separate the equation into 2 possible cases
u=1u=−1
Solution
u1=−1,u2=1
Show Solution