Question
Factor the expression
m2(8−9m3)
Evaluate
8m2−9m5
Rewrite the expression
m2×8−m2×9m3
Solution
m2(8−9m3)
Show Solution

Find the roots
m1=0,m2=3233
Alternative Form
m1=0,m2≈0.9615
Evaluate
(8m2)−(9m5)
To find the roots of the expression,set the expression equal to 0
(8m2)−(9m5)=0
Multiply the terms
8m2−(9m5)=0
Multiply the terms
8m2−9m5=0
Factor the expression
m2(8−9m3)=0
Separate the equation into 2 possible cases
m2=08−9m3=0
The only way a power can be 0 is when the base equals 0
m=08−9m3=0
Solve the equation
More Steps

Evaluate
8−9m3=0
Move the constant to the right-hand side and change its sign
−9m3=0−8
Removing 0 doesn't change the value,so remove it from the expression
−9m3=−8
Change the signs on both sides of the equation
9m3=8
Divide both sides
99m3=98
Divide the numbers
m3=98
Take the 3-th root on both sides of the equation
3m3=398
Calculate
m=398
Simplify the root
More Steps

Evaluate
398
To take a root of a fraction,take the root of the numerator and denominator separately
3938
Simplify the radical expression
392
Multiply by the Conjugate
39×3922392
Simplify
39×3922×333
Multiply the numbers
39×392633
Multiply the numbers
32633
Rewrite the expression
323×233
Reduce the fraction
3233
m=3233
m=0m=3233
Solution
m1=0,m2=3233
Alternative Form
m1=0,m2≈0.9615
Show Solution
