Question

How do you simplify `(97x^2-56xy+86y^2)-(-56x^2+53xy+93y^2)`?

Answer 1

`153x^2-109xy-7y^2`

Explanation:

`(97x^2-56xy+86y^2)-(-56x^2+53xy+93y^2)`
`97x^2-56xy+86y^2+56x^2-53xy-93y^2`
`97x^2-56xy+86y^2+56x^2-53xy-93y^2`
`153x^2-109xy-7y^2`
`(17*9)x^2-109xy-7y^2`
If we would to reduce more, we could try to devide the trinomial into 2 parts as:
`(ax+by)(cx+dy)`
So the hard problem would become how to find a,b,c,d, if:
`b*d=-7`
`a*c=17*3^2`
`a*d+b*c=-109`
But without any result.