i need help to simplify this problem. 6y-4x^2+xy-(y-xy-4x^2

Question

anonymous · Answer

my final answer is:---> y(2x +5)

do you want an explanation?

anonymous · Answer

Yes please so i knw how to come up with the answer thank you so much.

anonymous · Answer

okay.

1) $$6y - 4x ^{2} + xy - (y -xy - 4x ^{2})$$

2) expand the bracket, meaning multiply everything in it by -1, but make sure to also multiply the signs...

$$6y - 4x ^{?} + xy -y +xy + 4x ^{2}$$

3) after this, group the like terms...the x-squared terms, the xy terms and the y-terms.

$$-4x ^{2} + 4x ^{2} + xy + xy +6y -y$$

4) as you can see, the x^2 terms cancel out so youre left with

$$2xy + 5y$$

5) but theres a common factor...y...so you can factor this out to get

$$y(2x + 5)$$

anonymous · Answer

OMG thank you so much. Im glad your good at this lol.

anonymous · Answer

its no problem :)