Question
Factor the expression
16(p−1)(p4+p3+p2+p+1)
Evaluate
16p5−16
Factor out 16 from the expression
16(p5−1)
Solution
More Steps

Evaluate
p5−1
Calculate
p5+p4+p3+p2+p−p4−p3−p2−p−1
Rewrite the expression
p×p4+p×p3+p×p2+p×p+p−p4−p3−p2−p−1
Factor out p from the expression
p(p4+p3+p2+p+1)−p4−p3−p2−p−1
Factor out −1 from the expression
p(p4+p3+p2+p+1)−(p4+p3+p2+p+1)
Factor out p4+p3+p2+p+1 from the expression
(p−1)(p4+p3+p2+p+1)
16(p−1)(p4+p3+p2+p+1)
Show Solution

Find the roots
p=1
Evaluate
16p5−16
To find the roots of the expression,set the expression equal to 0
16p5−16=0
Move the constant to the right-hand side and change its sign
16p5=0+16
Removing 0 doesn't change the value,so remove it from the expression
16p5=16
Divide both sides
1616p5=1616
Divide the numbers
p5=1616
Divide the numbers
More Steps

Evaluate
1616
Reduce the numbers
11
Calculate
1
p5=1
Take the 5-th root on both sides of the equation
5p5=51
Calculate
p=51
Solution
p=1
Show Solution
