Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(p−10)(p+2)
Evaluate
p2−8p−20
Rewrite the expression
p2+(2−10)p−20
Calculate
p2+2p−10p−20
Rewrite the expression
p×p+p×2−10p−10×2
Factor out p from the expression
p(p+2)−10p−10×2
Factor out −10 from the expression
p(p+2)−10(p+2)
Solution
(p−10)(p+2)
Show Solution
Find the roots
p1=−2,p2=10
Evaluate
p2−8p−20
To find the roots of the expression,set the expression equal to 0
p2−8p−20=0
Factor the expression
More Steps
Evaluate
p2−8p−20
Rewrite the expression
p2+(2−10)p−20
Calculate
p2+2p−10p−20
Rewrite the expression
p×p+p×2−10p−10×2
Factor out p from the expression
p(p+2)−10p−10×2
Factor out −10 from the expression
p(p+2)−10(p+2)
Factor out p+2 from the expression
(p−10)(p+2)
(p−10)(p+2)=0
When the product of factors equals 0,at least one factor is 0
p−10=0p+2=0
Solve the equation for p
More Steps
Evaluate
p−10=0
Move the constant to the right-hand side and change its sign
p=0+10
Removing 0 doesn't change the value,so remove it from the expression
p=10
p=10p+2=0
Solve the equation for p
More Steps
Evaluate
p+2=0
Move the constant to the right-hand side and change its sign
p=0−2
Removing 0 doesn't change the value,so remove it from the expression
p=−2
p=10p=−2
Solution
p1=−2,p2=10
Show Solution