Question

Factor 6x^2-11xy-10y^2

Answer 1

Here's a hint, 6x^2-11xy-10y^2 = 6x^2+4xy-15xy-10y^2.

Answer 2

what is the GCF of the equation?

Answer 3

Good first step to look for that first (though it's an expression not an equation), but there isn't one.

Answer 4

You'll have to get it in the form (ax+by)(cx+dy)

Answer 5

Are you familiar with FOILing binomials?

Answer 6

yes

Answer 7

Great. Then consider that the factors you are looking for are in the form
\((ax+by)(cx+dy) = 6x^2-11xy-10y^2\) .

If you FOIL (ax+by)(cx+dy) then you get
\((ax+by)(cx+dy)=acx^2+adxy+bcxy+bdy^2\)

Which means you need to find a,b,c,d such that ac=6 and bd=-10 and ad+bc=-11

Answer 8

It's easier than it looks. :-)