Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2a(a−6)(a+6)
Evaluate
2a3−72a
Factor out 2a from the expression
2a(a2−36)
Solution
More Steps
Evaluate
a2−36
Rewrite the expression in exponential form
a2−62
Use a2−b2=(a−b)(a+b) to factor the expression
(a−6)(a+6)
2a(a−6)(a+6)
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Find the roots
a1=−6,a2=0,a3=6
Evaluate
2a3−72a
To find the roots of the expression,set the expression equal to 0
2a3−72a=0
Factor the expression
2a(a2−36)=0
Divide both sides
a(a2−36)=0
Separate the equation into 2 possible cases
a=0a2−36=0
Solve the equation
More Steps
Evaluate
a2−36=0
Move the constant to the right-hand side and change its sign
a2=0+36
Removing 0 doesn't change the value,so remove it from the expression
a2=36
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±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
a=±6
Separate the equation into 2 possible cases
a=6a=−6
a=0a=6a=−6
Solution
a1=−6,a2=0,a3=6
Show Solution