Factor 4a^4b^3-a^2b

Math
4a4b3-a2b
Factor a2b out of 4a4b3-a2b.
Tap for more steps…
Factor a2b out of 4a4b3.
a2b(4a2b2)-a2b
Factor a2b out of -a2b.
a2b(4a2b2)+a2b(-1)
Factor a2b out of a2b(4a2b2)+a2b(-1).
a2b(4a2b2-1)
a2b(4a2b2-1)
Rewrite 4a2b2 as (2ab)2.
a2b((2ab)2-1)
Rewrite 1 as 12.
a2b((2ab)2-12)
Factor.
Tap for more steps…
Since both terms are perfect squares, factor using the difference of squares formula, a2-b2=(a+b)(a-b) where a=2ab and b=1.
a2b((2ab+1)(2ab-1))
Remove unnecessary parentheses.
a2b(2ab+1)(2ab-1)
a2b(2ab+1)(2ab-1)
Factor 4a^4b^3-a^2b

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top