Question
Factor the expression
p2(1−p)(1+p)
Evaluate
p2−p4
Factor out p2 from the expression
p2(1−p2)
Solution
More Steps

Evaluate
1−p2
Rewrite the expression in exponential form
12−p2
Use a2−b2=(a−b)(a+b) to factor the expression
(1−p)(1+p)
p2(1−p)(1+p)
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Find the roots
p1=−1,p2=0,p3=1
Evaluate
p2−p4
To find the roots of the expression,set the expression equal to 0
p2−p4=0
Factor the expression
p2(1−p2)=0
Separate the equation into 2 possible cases
p2=01−p2=0
The only way a power can be 0 is when the base equals 0
p=01−p2=0
Solve the equation
More Steps

Evaluate
1−p2=0
Move the constant to the right-hand side and change its sign
−p2=0−1
Removing 0 doesn't change the value,so remove it from the expression
−p2=−1
Change the signs on both sides of the equation
p2=1
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±1
Simplify the expression
p=±1
Separate the equation into 2 possible cases
p=1p=−1
p=0p=1p=−1
Solution
p1=−1,p2=0,p3=1
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