Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
12m2(m−3)(m+3)
Evaluate
12m4−108m2
Factor out 12m2 from the expression
12m2(m2−9)
Solution
More Steps
Evaluate
m2−9
Rewrite the expression in exponential form
m2−32
Use a2−b2=(a−b)(a+b) to factor the expression
(m−3)(m+3)
12m2(m−3)(m+3)
Show Solution
Find the roots
m1=−3,m2=0,m3=3
Evaluate
12m4−108m2
To find the roots of the expression,set the expression equal to 0
12m4−108m2=0
Factor the expression
12m2(m2−9)=0
Divide both sides
m2(m2−9)=0
Separate the equation into 2 possible cases
m2=0m2−9=0
The only way a power can be 0 is when the base equals 0
m=0m2−9=0
Solve the equation
More Steps
Evaluate
m2−9=0
Move the constant to the right-hand side and change its sign
m2=0+9
Removing 0 doesn't change the value,so remove it from the expression
m2=9
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±9
Simplify the expression
More Steps
Evaluate
9
Write the number in exponential form with the base of 3
32
Reduce the index of the radical and exponent with 2
3
m=±3
Separate the equation into 2 possible cases
m=3m=−3
m=0m=3m=−3
Solution
m1=−3,m2=0,m3=3
Show Solution