Solve (4x^2-xy+y^2)+(-x^2-5xy+4y^2)

$$( 4 x ^ { 2 } - x y + y ^ { 2 } ) + ( - x ^ { 2 } - 5 x y + 4 y ^ { 2 } )$$

Evaluate

$$3x^{2}-6xy+5y^{2}$$

Solution Steps

Combine -xy and -5xy to get -6xy.

$$4x^{2}-6xy+y^{2}-x^{2}+4y^{2}$$

Combine y^{2} and 4y^{2} to get 5y^{2}.

$$4x^{2}-6xy+5y^{2}-x^{2}$$

Combine 4x^{2} and -x^{2} to get 3x^{2}.

$$3x^{2}-6xy+5y^{2}$$

Differentiate w.r.t. x

$$6\left(x-y\right)$$