Question

Simplify combining like terms: $3a-2b-ab-(a-b+ab)+3ab+b-a$

Answer 1

Given: $3a-2b-ab-(a-b+ab)+3ab+b-a$

On combining the like terms and simplifying we get

$$\begin{gathered} =3a–2b–ab–a+b–ab+3ab+b–a \\ =3a–a–a–2b+b+b–ab–ab+3ab \\ =a(3–1-1)+b(-2+1+1)+ab(-1-1+3) \\ =a(2–1)+b(-2+2)+ab(-2+3) \\ =a\left(1\right)+b\left(0\right)+ab\left(1\right) \\ =a+ab \end{gathered}$$

Therefore, we get $a+ab$.