Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
M4−1
Evaluate
M2×M2−1
Solution
More Steps
Evaluate
M2×M2
Use the product rule an×am=an+m to simplify the expression
M2+2
Add the numbers
M4
M4−1
Show Solution
Factor the expression
(M−1)(M+1)(M2+1)
Evaluate
M2×M2−1
Evaluate
More Steps
Evaluate
M2×M2
Use the product rule an×am=an+m to simplify the expression
M2+2
Add the numbers
M4
M4−1
Rewrite the expression in exponential form
(M2)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(M2−1)(M2+1)
Solution
More Steps
Evaluate
M2−1
Rewrite the expression in exponential form
M2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(M−1)(M+1)
(M−1)(M+1)(M2+1)
Show Solution
Find the roots
M1=−1,M2=1
Evaluate
M2×M2−1
To find the roots of the expression,set the expression equal to 0
M2×M2−1=0
Multiply the terms
More Steps
Evaluate
M2×M2
Use the product rule an×am=an+m to simplify the expression
M2+2
Add the numbers
M4
M4−1=0
Move the constant to the right-hand side and change its sign
M4=0+1
Removing 0 doesn't change the value,so remove it from the expression
M4=1
Take the root of both sides of the equation and remember to use both positive and negative roots
M=±41
Simplify the expression
M=±1
Separate the equation into 2 possible cases
M=1M=−1
Solution
M1=−1,M2=1
Show Solution