Question
Factor the expression
m2(m4−6)
Evaluate
m6−6m2
Rewrite the expression
m2×m4−m2×6
Solution
m2(m4−6)
Show Solution

Find the roots
m1=−46,m2=0,m3=46
Alternative Form
m1≈−1.565085,m2=0,m3≈1.565085
Evaluate
m6−6m2
To find the roots of the expression,set the expression equal to 0
m6−6m2=0
Factor the expression
m2(m4−6)=0
Separate the equation into 2 possible cases
m2=0m4−6=0
The only way a power can be 0 is when the base equals 0
m=0m4−6=0
Solve the equation
More Steps

Evaluate
m4−6=0
Move the constant to the right-hand side and change its sign
m4=0+6
Removing 0 doesn't change the value,so remove it from the expression
m4=6
Take the root of both sides of the equation and remember to use both positive and negative roots
m=±46
Separate the equation into 2 possible cases
m=46m=−46
m=0m=46m=−46
Solution
m1=−46,m2=0,m3=46
Alternative Form
m1≈−1.565085,m2=0,m3≈1.565085
Show Solution
