Question

What should be subtracted from $2a+8b+10$ to get $-3a+7b+16$?

Answer 1

Mathematica operation with algebraic expressions.

Let us consider that $m$ should be subtracted from $2a+8b+10$ to get $-3a+7b+16$.

$$\begin{gathered} \therefore (2a+8b+10)-m=-3a+7b+16 \\ \Rightarrow -m=-3a+7b+16-(2a+8b+10) \\ \Rightarrow -m=-3a+7b+16-2a-8b-10 \\ \Rightarrow -m=-3a-2a+7b-8b+16-10 \\ \Rightarrow -m=-5a-b+6 \\ \Rightarrow m=-\left(-5a-b+6\right) \\ \Rightarrow m=5a+b-6 \end{gathered}$$

Hence, the expression $(5a+b-6)$should be subtracted from $2a+8b+10$ to get $-3a+7b+16$.