Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
n2−n−2
Evaluate
n×n−1×n−2
Multiply the terms
n2−1×n−2
Solution
n2−n−2
Show Solution
Factor the expression
(n−2)(n+1)
Evaluate
n×n−1×n−2
Multiply the terms
n2−1×n−2
Any expression multiplied by 1 remains the same
n2−n−2
Rewrite the expression
n2+(1−2)n−2
Calculate
n2+n−2n−2
Rewrite the expression
n×n+n−2n−2
Factor out n from the expression
n(n+1)−2n−2
Factor out −2 from the expression
n(n+1)−2(n+1)
Solution
(n−2)(n+1)
Show Solution
Find the roots
n1=−1,n2=2
Evaluate
n×n−1×n−2
To find the roots of the expression,set the expression equal to 0
n×n−1×n−2=0
Multiply the terms
n2−1×n−2=0
Any expression multiplied by 1 remains the same
n2−n−2=0
Factor the expression
More Steps
Evaluate
n2−n−2
Rewrite the expression
n2+(1−2)n−2
Calculate
n2+n−2n−2
Rewrite the expression
n×n+n−2n−2
Factor out n from the expression
n(n+1)−2n−2
Factor out −2 from the expression
n(n+1)−2(n+1)
Factor out n+1 from the expression
(n−2)(n+1)
(n−2)(n+1)=0
When the product of factors equals 0,at least one factor is 0
n−2=0n+1=0
Solve the equation for n
More Steps
Evaluate
n−2=0
Move the constant to the right-hand side and change its sign
n=0+2
Removing 0 doesn't change the value,so remove it from the expression
n=2
n=2n+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=2n=−1
Solution
n1=−1,n2=2
Show Solution