Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−10)(n−1)
Evaluate
n2−11n+10
Rewrite the expression
n2+(−1−10)n+10
Calculate
n2−n−10n+10
Rewrite the expression
n×n−n−10n+10
Factor out n from the expression
n(n−1)−10n+10
Factor out −10 from the expression
n(n−1)−10(n−1)
Solution
(n−10)(n−1)
Show Solution
Find the roots
n1=1,n2=10
Evaluate
n2−11n+10
To find the roots of the expression,set the expression equal to 0
n2−11n+10=0
Factor the expression
More Steps
Evaluate
n2−11n+10
Rewrite the expression
n2+(−1−10)n+10
Calculate
n2−n−10n+10
Rewrite the expression
n×n−n−10n+10
Factor out n from the expression
n(n−1)−10n+10
Factor out −10 from the expression
n(n−1)−10(n−1)
Factor out n−1 from the expression
(n−10)(n−1)
(n−10)(n−1)=0
When the product of factors equals 0,at least one factor is 0
n−10=0n−1=0
Solve the equation for n
More Steps
Evaluate
n−10=0
Move the constant to the right-hand side and change its sign
n=0+10
Removing 0 doesn't change the value,so remove it from the expression
n=10
n=10n−1=0
Solve the equation for n
More Steps
Evaluate
n−1=0
Move the constant to the right-hand side and change its sign
n=0+1
Removing 0 doesn't change the value,so remove it from the expression
n=1
n=10n=1
Solution
n1=1,n2=10
Show Solution