Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(n−8)(n+5)
Evaluate
n2−3n−40
Rewrite the expression
n2+(5−8)n−40
Calculate
n2+5n−8n−40
Rewrite the expression
n×n+n×5−8n−8×5
Factor out n from the expression
n(n+5)−8n−8×5
Factor out −8 from the expression
n(n+5)−8(n+5)
Solution
(n−8)(n+5)
Show Solution
Find the roots
n1=−5,n2=8
Evaluate
n2−3n−40
To find the roots of the expression,set the expression equal to 0
n2−3n−40=0
Factor the expression
More Steps
Evaluate
n2−3n−40
Rewrite the expression
n2+(5−8)n−40
Calculate
n2+5n−8n−40
Rewrite the expression
n×n+n×5−8n−8×5
Factor out n from the expression
n(n+5)−8n−8×5
Factor out −8 from the expression
n(n+5)−8(n+5)
Factor out n+5 from the expression
(n−8)(n+5)
(n−8)(n+5)=0
When the product of factors equals 0,at least one factor is 0
n−8=0n+5=0
Solve the equation for n
More Steps
Evaluate
n−8=0
Move the constant to the right-hand side and change its sign
n=0+8
Removing 0 doesn't change the value,so remove it from the expression
n=8
n=8n+5=0
Solve the equation for n
More Steps
Evaluate
n+5=0
Move the constant to the right-hand side and change its sign
n=0−5
Removing 0 doesn't change the value,so remove it from the expression
n=−5
n=8n=−5
Solution
n1=−5,n2=8
Show Solution