Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
p3−36p
Evaluate
p3−4p×9
Solution
p3−36p
Show Solution
Factor the expression
p(p−6)(p+6)
Evaluate
p3−4p×9
Evaluate
p3−36p
Factor out p from the expression
p(p2−36)
Solution
More Steps
Evaluate
p2−36
Rewrite the expression in exponential form
p2−62
Use a2−b2=(a−b)(a+b) to factor the expression
(p−6)(p+6)
p(p−6)(p+6)
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Find the roots
p1=−6,p2=0,p3=6
Evaluate
p3−4p×9
To find the roots of the expression,set the expression equal to 0
p3−4p×9=0
Multiply the terms
p3−36p=0
Factor the expression
p(p2−36)=0
Separate the equation into 2 possible cases
p=0p2−36=0
Solve the equation
More Steps
Evaluate
p2−36=0
Move the constant to the right-hand side and change its sign
p2=0+36
Removing 0 doesn't change the value,so remove it from the expression
p2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±36
Simplify the expression
More Steps
Evaluate
36
Write the number in exponential form with the base of 6
62
Reduce the index of the radical and exponent with 2
6
p=±6
Separate the equation into 2 possible cases
p=6p=−6
p=0p=6p=−6
Solution
p1=−6,p2=0,p3=6
Show Solution