Question
Factor the expression
Factor
(n−11)(n−1)
Evaluate
n2−12n+11
Rewrite the expression
n2+(−1−11)n+11
Calculate
n2−n−11n+11
Rewrite the expression
n×n−n−11n+11
Factor out n from the expression
n(n−1)−11n+11
Factor out −11 from the expression
n(n−1)−11(n−1)
Solution
(n−11)(n−1)
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Find the roots
Find the roots of the algebra expression
n1=1,n2=11
Evaluate
n2−12n+11
To find the roots of the expression,set the expression equal to 0
n2−12n+11=0
Factor the expression
More Steps
Evaluate
n2−12n+11
Rewrite the expression
n2+(−1−11)n+11
Calculate
n2−n−11n+11
Rewrite the expression
n×n−n−11n+11
Factor out n from the expression
n(n−1)−11n+11
Factor out −11 from the expression
n(n−1)−11(n−1)
Factor out n−1 from the expression
(n−11)(n−1)
(n−11)(n−1)=0
When the product of factors equals 0,at least one factor is 0
n−11=0n−1=0
Solve the equation for n
More Steps
Evaluate
n−11=0
Move the constant to the right-hand side and change its sign
n=0+11
Removing 0 doesn't change the value,so remove it from the expression
n=11
n=11n−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=11n=1
Solution
n1=1,n2=11
Show Solution