Question

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

Answer 1

Answer:

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

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: $2a^2+9ab-7b^2$

Step-by-step 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:

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