Solve 4a^2-7ab+5b^2-2a^2-5ab+4b^2

$$4 a ^ { 2 } - 7 a b + 5 b ^ { 2 } - 2 a ^ { 2 } - 5 a b + 4 b ^ { 2 }$$

Evaluate

$$2a^{2}-12ab+9b^{2}$$

Solution Steps

Combine 4a^{2} and -2a^{2} to get 2a^{2}.

$$2a^{2}-7ab+5b^{2}-5ab+4b^{2}$$

Combine -7ab and -5ab to get -12ab.

$$2a^{2}-12ab+5b^{2}+4b^{2}$$

Combine 5b^{2} and 4b^{2} to get 9b^{2}.

$$2a^{2}-12ab+9b^{2}$$

Differentiate w.r.t. a

$$4\left(a-3b\right)$$