Question

what is the sum of (15p + 10r) and (3p + 34r)?
(\boldsymbol{12p - 24r})
(18p^2 + 44r^2)
(18p + 44r)
(62pr)

Explanation:

Step1: Write the sum expression

We need to find the sum of \((15p + 10r)\) and \((3p + 34r)\), so we write the expression as \((15p + 10r)+(3p + 34r)\).

Step2: Combine like terms for \(p\)

For the terms with \(p\), we have \(15p+3p\). Combining these, we get \((15 + 3)p=18p\).

Step3: Combine like terms for \(r\)

For the terms with \(r\), we have \(10r + 34r\). Combining these, we get \((10+34)r = 44r\).

Step4: Write the final sum

Putting the combined terms together, we get \(18p+44r\).

Answer:

\(18p + 44r\) (corresponding to the option with this expression)