Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(w−1)(w+1)(w2+1)
Evaluate
w4−1
Rewrite the expression in exponential form
(w2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(w2−1)(w2+1)
Solution
More Steps
Evaluate
w2−1
Rewrite the expression in exponential form
w2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(w−1)(w+1)
(w−1)(w+1)(w2+1)
Show Solution
Find the roots
w1=−1,w2=1
Evaluate
w4−1
To find the roots of the expression,set the expression equal to 0
w4−1=0
Move the constant to the right-hand side and change its sign
w4=0+1
Removing 0 doesn't change the value,so remove it from the expression
w4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
w=±41
Simplify the expression
w=±1
Separate the equation into 2 possible cases
w=1w=−1
Solution
w1=−1,w2=1
Show Solution