Solve {l}{3ab+7ab-2a^2}{-5a^2-2b^2-5b^2}

$$\left. \begin{array} { l } { 3 a b + 7 a b - 2 a ^ { 2 } } \\ { - 5 a ^ { 2 } - 2 b ^ { 2 } - 5 b ^ { 2 } } \end{array} \right.$$

Evaluate

$$-7a^{2}+10ab-7b^{2}$$

Solution Steps

Combine 3ab and 7ab to get 10ab.

$$10ab-2a^{2}-5a^{2}-2b^{2}-5b^{2}$$

Combine -2a^{2} and -5a^{2} to get -7a^{2}.

$$10ab-7a^{2}-2b^{2}-5b^{2}$$

Combine -2b^{2} and -5b^{2} to get -7b^{2}.

$$10ab-7a^{2}-7b^{2}$$

Differentiate w.r.t. b

$$10a-14b$$