Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−1)(p+1)(p2+1)
Evaluate
p4−1
Rewrite the expression in exponential form
(p2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(p2−1)(p2+1)
Solution
More Steps
Evaluate
p2−1
Rewrite the expression in exponential form
p2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(p−1)(p+1)
(p−1)(p+1)(p2+1)
Show Solution
Find the roots
p1=−1,p2=1
Evaluate
p4−1
To find the roots of the expression,set the expression equal to 0
p4−1=0
Move the constant to the right-hand side and change its sign
p4=0+1
Removing 0 doesn't change the value,so remove it from the expression
p4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±41
Simplify the expression
p=±1
Separate the equation into 2 possible cases
p=1p=−1
Solution
p1=−1,p2=1
Show Solution