Question

Subtract $p-2q+r$ from the sum of $10p-r$and $5p+2q$

Answer 1

Given that: Subtract $p-2q+r$ from the sum of $10p-r$and $5p+2q$

Subtracting $p-2q+r$ from the sum of $10p-r$and $5p+2q$:

Step 1: Sum of $10p-r$and $5p+2q$

$=10p-r+5p+2q$

$$\begin{gathered} =10p+5p-r+2q \\ =15p-r+2q \end{gathered}$$

Step 2: Subtracting $p-2q+r$ from $15p-r+2q$

$=15p-r+2q-(p-2q+r)$

$=15p-r+2q-p+2q-r$

$=15p-p+2q+2q-r-r$

$=14p+4q-2r$

Therefore, we get $14p+4q-2r$.