Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
m4−m3
Evaluate
(m−1)(m2×m×1)
Remove the parentheses
(m−1)m2×m×1
Rewrite the expression
(m−1)m2×m
Multiply the terms with the same base by adding their exponents
(m−1)m2+1
Add the numbers
(m−1)m3
Multiply the terms
m3(m−1)
Apply the distributive property
m3×m−m3×1
Multiply the terms
More Steps
Evaluate
m3×m
Use the product rule an×am=an+m to simplify the expression
m3+1
Add the numbers
m4
m4−m3×1
Solution
m4−m3
Show Solution
Find the roots
m1=0,m2=1
Evaluate
(m−1)(m2×m×1)
To find the roots of the expression,set the expression equal to 0
(m−1)(m2×m×1)=0
Multiply the terms
More Steps
Multiply the terms
m2×m×1
Rewrite the expression
m2×m
Use the product rule an×am=an+m to simplify the expression
m2+1
Add the numbers
m3
(m−1)m3=0
Multiply the terms
m3(m−1)=0
Separate the equation into 2 possible cases
m3=0m−1=0
The only way a power can be 0 is when the base equals 0
m=0m−1=0
Solve the equation
More Steps
Evaluate
m−1=0
Move the constant to the right-hand side and change its sign
m=0+1
Removing 0 doesn't change the value,so remove it from the expression
m=1
m=0m=1
Solution
m1=0,m2=1
Show Solution