Question

Find the difference (5a^2+4ab-3b^2)-(-5ab+4b^2+3a^2)

Answer 1

`\boxed{\bold{2a^2+9ab-7b^2}}`

Step By Step Explanation:

Remove Parenthesis: (a) = a

`\bold{5a^2+4ab-3b^2-\left(-5ab+4b^2+3a^2\right)}`

Simplify
`\bold{-\left(-5ab+4b^2+3a^2\right)}`

`\bold{5ab-4b^2-3a^2}`

Rewrite Equation:

`\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}`

Simplify
`\bold{5a^2+4ab-3b^2+5ab-4b^2-3a^2}`

`\bold{2a^2+9ab-7b^2}`

- Mordancy

Answer 2

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

Explanation:

The differenece is obtained by subtracting the polynomial
`(5a^2+4ab-3b^2)` and the polynomial
`(-5ab+4b^2+3a^2)`.

Remember that:

`(-)(-)=+\\(+)(+)=+\\(-)(+)=-`

Then, you need to Distribute the negative sign:

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

Now, you need to add the like terms. Then you get that the difference is:

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