Plz help! Will give medal!! Factor Completely. 48y2 + 82y – 70

Question

parthkohli · Answer

You can factor $2$ out.

anonymous · Answer

ok, but then what?

anonymous · Answer

2(24y+41y-35) i think is the next step

anonymous · Answer

This is not enough for her i guess. she wants more.

anonymous · Answer

It factors further than that, but you have to find factors of 840 that have a difference of 41 and that happens to be 56 and 15.  So, you can break up your inner term to ::

$$24y ^{2}+56y-15y-35$$

And then factor the four terms by grouping.

$$(24y ^{2}+56y) + (-15y-35)$$

Then factor each expression:

$$8y(3y+7) -5(3y+7)$$

Then factor the common factor from each:

(3y+7)(8y-5)

So your complete answer with the two factored out is:

2(3y+7)(8y-5)

anonymous · Answer

The 840 come from the fact that I had to multiply 24 AND 35 together to get 840.  I then must find factors of 840 which have a difference of 41.  I should have lead with that....lol