How to simplify (3a−b^2−a)^3 by using special product?

Ayanna Jarvis

Ayanna Jarvis

Answered question

2022-10-21

How to simplify ( 3 a b 2 a ) 3 by using special product?

Answer & Explanation

aitorarjolia

aitorarjolia

Beginner2022-10-22Added 11 answers

First of all, your cited identity is incorrect; the exponent on the v was wrong in the last term. The correct version is
( u ± v ) 3 = u 3 ± 3 u 2 v + 3 u v 2 ± v 3 .
Also, note that
3 a b 2 a = 2 a b 2
so that
( 3 a b 2 a ) 3 = ( 2 a b 2 ) 3 ,
and you can then let u = 2 a and v = b 2 , making the problem somewhat more straightforward.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?