Factor 27ab^3+64a

Math
27ab3+64a
Factor a out of 27ab3+64a.
Tap for more steps…
Factor a out of 27ab3.
a(27b3)+64a
Factor a out of 64a.
a(27b3)+a⋅64
Factor a out of a(27b3)+a⋅64.
a(27b3+64)
a(27b3+64)
Rewrite 27b3 as (3b)3.
a((3b)3+64)
Rewrite 64 as 43.
a((3b)3+43)
Since both terms are perfect cubes, factor using the sum of cubes formula, a3+b3=(a+b)(a2-ab+b2) where a=3b and b=4.
a((3b+4)((3b)2-(3b)⋅4+42))
Factor.
Tap for more steps…
Simplify.
Tap for more steps…
Apply the product rule to 3b.
a((3b+4)(32b2-(3b)⋅4+42))
Raise 3 to the power of 2.
a((3b+4)(9b2-(3b)⋅4+42))
Multiply 3 by -1.
a((3b+4)(9b2-3b⋅4+42))
Multiply 4 by -3.
a((3b+4)(9b2-12b+42))
Raise 4 to the power of 2.
a((3b+4)(9b2-12b+16))
a((3b+4)(9b2-12b+16))
Remove unnecessary parentheses.
a(3b+4)(9b2-12b+16)
a(3b+4)(9b2-12b+16)
Factor 27ab^3+64a

Meet the Team our Math Expers

Our Professionals

Robert Kristofer

Anna Frok

Magnus Flores

Lydia Fran

We are MathExperts

Solve all your Math Problems: https://elanyachtselection.com/

We can solve all your math problems
Scroll to top