Question

(5a2 + 4ab – 3b2) – (–5ab + 4b2 + 3a2) =
___ a^2 + ___ab + ( ___b^2)

Answer 1

2a^2 + 9ab +( -7b^2)

Answer 2

`2a^2+9ab+(-7b^2)`

Explanation:

To subtract the following polynomials:

`(5a^2+4ab-3b^2)-(-5ab + 4b^2 + 3a^2)`

Remove the open parenthesis we have;

`5a^2+4ab-3b^2+5ab - 4b^2- 3a^2`

Combine like terms;

`2a^2+9ab-7b^2`

⇒
`2a^2+9ab+(-7b^2)`

Therefore, after subtracting
`(5a^2+4ab-3b^2)-(-5ab + 4b^2 + 3a^2)` we get the result,
`2a^2+9ab+(-7b^2)`