Question

Ax^2+ay^2–bx^2–by^2+b-a

Answer 1

First, let's factor out the coefficient a.

We have


`ax^2+ay^2-bx^2-by^2+b-a`


`a(x^2+y^2-1)-bx^2-by^2+b`

Next, let's factor out the coefficient b.


`a(x^2+y^2-1)-b(x^2-y^2+1)`

Using the common factor
`(x^2+y^2-1)`, we can rewrite as


`(a-b)(x^2+y^2-1)`

Answer 2

`ax^2+ay^2-bx^2-by^2+b-a`
=
`a(x^2+y^2)-b(x^2+y^2)+b-a`
=
`(x^2+y^2)(a - b)+b-a`
=
`(x^2+y^2)(a - b)-(a - b)`
=
`(a - b)(x^2+y^2 -1)`