Question
Factor the expression
4(1−p)(1+p+p2)
Evaluate
4−4p3
Factor out 4 from the expression
4(1−p3)
Solution
More Steps

Evaluate
1−p3
Rewrite the expression in exponential form
13−p3
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(1−p)(12+1×p+p2)
1 raised to any power equals to 1
(1−p)(1+1×p+p2)
Any expression multiplied by 1 remains the same
(1−p)(1+p+p2)
4(1−p)(1+p+p2)
Show Solution

Find the roots
p=1
Evaluate
4−4p3
To find the roots of the expression,set the expression equal to 0
4−4p3=0
Move the constant to the right-hand side and change its sign
−4p3=0−4
Removing 0 doesn't change the value,so remove it from the expression
−4p3=−4
Change the signs on both sides of the equation
4p3=4
Divide both sides
44p3=44
Divide the numbers
p3=44
Divide the numbers
More Steps

Evaluate
44
Reduce the numbers
11
Calculate
1
p3=1
Take the 3-th root on both sides of the equation
3p3=31
Calculate
p=31
Solution
p=1
Show Solution
