Question

Factor the expression 8x3y − 8x2y − 30xy.

Answer 1

Answer: Our factorized term will be

2xy(2x+5)(2x-3)

Step-by-step explanation:

Since we have given that

`8x^3y-8x^2y-30xy`

All we need to do is to factorise this expression.

Here are the steps given below:

`2xy(4x^2-4x-15)`

By manipulating the terms, we get:

`2xy[(2x)^2-4x+1-16]\\\\2xy[(2x-1)^2-16]\\\\2xy[(2x-1)^2-(4)^2]\\\\2xy[(2x-1-4)(2x-1+4)]\\\\2xy[(2x-5)(2x+3)]`

Alternatively,

By using splitting the middle terms,

`2xy(4x^2-4x-15)\\\\2xy(4x^2-10x+6x-15)\\\\2xy[2x(2x-5)+3(2x-5)]\\\\2xy(2x-3)(2x+5)`

Hence, our factorized term will be

2xy(2x+5)(2x-3)