Answer:
[tex]x^{2} +2y^{2} +8xy[/tex]
Step-by-step explanation:
[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]
Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.
[tex]6x^{2} -5x^{2} = x^{2}[/tex]
Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.
[tex]-4xy + 2xy +10xy = 8xy[/tex]
There isn't anymore like terms, so now we need to put it in simplest form.
[tex]x^{2} +2y^{2} +8xy[/tex]
Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))
