Solve -4x^2+3xy+7y^2-3x^2-xy+4y^2

$$- 4 x ^ { 2 } + 3 x y + 7 y ^ { 2 } - 3 x ^ { 2 } - x y + 4 y ^ { 2 }$$

Evaluate

$$11y^{2}+2xy-7x^{2}$$

Solution Steps

Combine -4x^{2} and -3x^{2} to get -7x^{2}.

$$-7x^{2}+3xy+7y^{2}-xy+4y^{2}$$

Combine 3xy and -xy to get 2xy.

$$-7x^{2}+2xy+7y^{2}+4y^{2}$$

Combine 7y^{2} and 4y^{2} to get 11y^{2}.

$$-7x^{2}+2xy+11y^{2}$$

Differentiate w.r.t. x

$$2\left(y-7x\right)$$