Question

Multiply : $-17\mathrm{p}+18\mathrm{a}$ by $2$

Answer 1

Product of binomial by monomial - Multiply each term of the binomial , and add all the products.

$$\begin{gathered} =2\times (-17\mathrm{p}+18\mathrm{a}) \\ =2\times (-17\mathrm{p})+2\times 18\mathrm{a} \\ =-34\mathrm{p}+36\mathrm{a} \end{gathered}$$. [ Sign convention : (+) x (+) = (+) ; (+) x (-) = (-) ; (-) x (-) = (+) ; (-) x (+) = (-) ]

Hence, $-34\mathrm{p}+36\mathrm{a}$ Is the product