Question

Simplify: (3x^2 - 4xy + 7y^2) - (7x^2 - 6xy - 3y^2)

A. -4x^2 - 10xy - 10y^2

B. -4x^2 - 2xy + 10y^2

C. -4x^2 - 10xy + 10y^2

D. -4x^2 + 2xy + 10y^2

Answer 1

Distribute the Negative Sign: =3x2−4xy+7y2+−1(7x2−6xy−3y2)=3x2+−4xy+7y2+−1(7x2)+−1(−6xy)+−1(−3y2)=3x2+−4xy+7y2+−7x2+6xy+3y2
Combine Like Terms: =3x2+−4xy+7y2+−7x2+6xy+3y2=(3x2+−7x2)+(−4xy+6xy)+(7y2+3y2)=−4x2+2xy+10y2
Answer:=−4x2+2xy+10y2