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

1 Answer
Jun 9, 2015

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.