# How do you find the product of (q+5)(5q-1)?

$5 {q}^{2} + 24 q - 5$
What the question is asking is "what is $q \left(5 q - 1\right) + 5 \left(5 q - 1\right)$?" Which also is $q \cdot 5 q + q \cdot - 1 + 5 \cdot 5 q + 5 \cdot - 1$. So we first do all the multiplying. which equals $5 {q}^{2} - q + 25 q - 5$, which you can turn into $5 {q}^{2} + 24 q - 5$.