Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(m−1)(m2+m+1)(m+1)(m2−m+1)
Evaluate
m6−1
Rewrite the expression in exponential form
(m3)2−12
Use a2−b2=(a−b)(a+b) to factor the expression
(m3−1)(m3+1)
Evaluate
More Steps
Evaluate
m3−1
Rewrite the expression in exponential form
m3−13
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(m−1)(m2+m×1+12)
Any expression multiplied by 1 remains the same
(m−1)(m2+m+12)
1 raised to any power equals to 1
(m−1)(m2+m+1)
(m−1)(m2+m+1)(m3+1)
Solution
More Steps
Evaluate
m3+1
Rewrite the expression in exponential form
m3+13
Use a3+b3=(a+b)(a2−ab+b2) to factor the expression
(m+1)(m2−m×1+12)
Any expression multiplied by 1 remains the same
(m+1)(m2−m+12)
1 raised to any power equals to 1
(m+1)(m2−m+1)
(m−1)(m2+m+1)(m+1)(m2−m+1)
Show Solution
Find the roots
m1=−1,m2=1
Evaluate
m6−1
To find the roots of the expression,set the expression equal to 0
m6−1=0
Move the constant to the right-hand side and change its sign
m6=0+1
Removing 0 doesn't change the value,so remove it from the expression
m6=1
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±61
Simplify the expression
m=±1
Separate the equation into 2 possible cases
m=1m=−1
Solution
m1=−1,m2=1
Show Solution