Question
Factor the expression
p2(1−2p3)
Evaluate
p2−2p5
Rewrite the expression
p2−p2×2p3
Solution
p2(1−2p3)
Show Solution

Find the roots
p1=0,p2=234
Alternative Form
p1=0,p2≈0.793701
Evaluate
p2−2p5
To find the roots of the expression,set the expression equal to 0
p2−2p5=0
Factor the expression
p2(1−2p3)=0
Separate the equation into 2 possible cases
p2=01−2p3=0
The only way a power can be 0 is when the base equals 0
p=01−2p3=0
Solve the equation
More Steps

Evaluate
1−2p3=0
Move the constant to the right-hand side and change its sign
−2p3=0−1
Removing 0 doesn't change the value,so remove it from the expression
−2p3=−1
Change the signs on both sides of the equation
2p3=1
Divide both sides
22p3=21
Divide the numbers
p3=21
Take the 3-th root on both sides of the equation
3p3=321
Calculate
p=321
Simplify the root
More Steps

Evaluate
321
To take a root of a fraction,take the root of the numerator and denominator separately
3231
Simplify the radical expression
321
Multiply by the Conjugate
32×322322
Simplify
32×32234
Multiply the numbers
234
p=234
p=0p=234
Solution
p1=0,p2=234
Alternative Form
p1=0,p2≈0.793701
Show Solution
