Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(2−p)(3+p)
Evaluate
6−p−p2
Rewrite the expression
6+(2−3)p−p2
Calculate
6+2p−3p−p2
Rewrite the expression
2×3+2p−p×3−p×p
Factor out 2 from the expression
2(3+p)−p×3−p×p
Factor out −p from the expression
2(3+p)−p(3+p)
Solution
(2−p)(3+p)
Show Solution
Find the roots
p1=−3,p2=2
Evaluate
6−p−p2
To find the roots of the expression,set the expression equal to 0
6−p−p2=0
Factor the expression
More Steps
Evaluate
6−p−p2
Rewrite the expression
6+(2−3)p−p2
Calculate
6+2p−3p−p2
Rewrite the expression
2×3+2p−p×3−p×p
Factor out 2 from the expression
2(3+p)−p×3−p×p
Factor out −p from the expression
2(3+p)−p(3+p)
Factor out 3+p from the expression
(2−p)(3+p)
(2−p)(3+p)=0
When the product of factors equals 0,at least one factor is 0
2−p=03+p=0
Solve the equation for p
More Steps
Evaluate
2−p=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
Change the signs on both sides of the equation
p=2
p=23+p=0
Solve the equation for p
More Steps
Evaluate
3+p=0
Move the constant to the right-hand side and change its sign
p=0−3
Removing 0 doesn't change the value,so remove it from the expression
p=−3
p=2p=−3
Solution
p1=−3,p2=2
Show Solution