Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
5p4−40p
Evaluate
p4×5−40p
Solution
5p4−40p
Show Solution
Factor the expression
5p(p−2)(p2+2p+4)
Evaluate
p4×5−40p
Use the commutative property to reorder the terms
5p4−40p
Factor out 5p from the expression
5p(p3−8)
Solution
More Steps
Evaluate
p3−8
Rewrite the expression in exponential form
p3−23
Use a3−b3=(a−b)(a2+ab+b2) to factor the expression
(p−2)(p2+p×2+22)
Use the commutative property to reorder the terms
(p−2)(p2+2p+22)
Evaluate
(p−2)(p2+2p+4)
5p(p−2)(p2+2p+4)
Show Solution
Find the roots
p1=0,p2=2
Evaluate
p4×5−40p
To find the roots of the expression,set the expression equal to 0
p4×5−40p=0
Use the commutative property to reorder the terms
5p4−40p=0
Factor the expression
5p(p3−8)=0
Divide both sides
p(p3−8)=0
Separate the equation into 2 possible cases
p=0p3−8=0
Solve the equation
More Steps
Evaluate
p3−8=0
Move the constant to the right-hand side and change its sign
p3=0+8
Removing 0 doesn't change the value,so remove it from the expression
p3=8
Take the 3-th root on both sides of the equation
3p3=38
Calculate
p=38
Evaluate the root
More Steps
Evaluate
38
Write the number in exponential form with the base of 2
323
Reduce the index of the radical and exponent with 3
2
p=2
p=0p=2
Solution
p1=0,p2=2
Show Solution