Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(m−10)(m−2)
Evaluate
m2−12m+20
Rewrite the expression
m2+(−2−10)m+20
Calculate
m2−2m−10m+20
Rewrite the expression
m×m−m×2−10m+10×2
Factor out m from the expression
m(m−2)−10m+10×2
Factor out −10 from the expression
m(m−2)−10(m−2)
Solution
(m−10)(m−2)
Show Solution
Find the roots
m1=2,m2=10
Evaluate
m2−12m+20
To find the roots of the expression,set the expression equal to 0
m2−12m+20=0
Factor the expression
More Steps
Evaluate
m2−12m+20
Rewrite the expression
m2+(−2−10)m+20
Calculate
m2−2m−10m+20
Rewrite the expression
m×m−m×2−10m+10×2
Factor out m from the expression
m(m−2)−10m+10×2
Factor out −10 from the expression
m(m−2)−10(m−2)
Factor out m−2 from the expression
(m−10)(m−2)
(m−10)(m−2)=0
When the product of factors equals 0,at least one factor is 0
m−10=0m−2=0
Solve the equation for m
More Steps
Evaluate
m−10=0
Move the constant to the right-hand side and change its sign
m=0+10
Removing 0 doesn't change the value,so remove it from the expression
m=10
m=10m−2=0
Solve the equation for m
More Steps
Evaluate
m−2=0
Move the constant to the right-hand side and change its sign
m=0+2
Removing 0 doesn't change the value,so remove it from the expression
m=2
m=10m=2
Solution
m1=2,m2=10
Show Solution