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

1 Answer
Jun 9, 2015

Answer:

#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.