Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
108m4−9m5
Evaluate
9m4(12−m)
Apply the distributive property
9m4×12−9m4×m
Multiply the numbers
108m4−9m4×m
Solution
More Steps
Evaluate
m4×m
Use the product rule an×am=an+m to simplify the expression
m4+1
Add the numbers
m5
108m4−9m5
Show Solution
Find the roots
m1=0,m2=12
Evaluate
9m4(12−m)
To find the roots of the expression,set the expression equal to 0
9m4(12−m)=0
Elimination the left coefficient
m4(12−m)=0
Separate the equation into 2 possible cases
m4=012−m=0
The only way a power can be 0 is when the base equals 0
m=012−m=0
Solve the equation
More Steps
Evaluate
12−m=0
Move the constant to the right-hand side and change its sign
−m=0−12
Removing 0 doesn't change the value,so remove it from the expression
−m=−12
Change the signs on both sides of the equation
m=12
m=0m=12
Solution
m1=0,m2=12
Show Solution