Solve 6ab-2b^2+4a^2-2ab+b^2-6a^2

$$6ab-2 { b }^{ 2 } +4 { a }^{ 2 } -2ab+ { b }^{ 2 } -6 { a }^{ 2 }$$

Evaluate

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

Solution Steps

Combine 6ab and -2ab to get 4ab.

$$4ab-2b^{2}+4a^{2}+b^{2}-6a^{2}$$

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

$$4ab-b^{2}+4a^{2}-6a^{2}$$

Combine 4a^{2} and -6a^{2} to get -2a^{2}.

$$4ab-b^{2}-2a^{2}$$

Differentiate w.r.t. b

$$4a-2b$$