Question

Multiply : $-7\mathrm{p}+8$by $3$

Answer 1

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

$$\begin{gathered} =3\times (-7\mathrm{p}+8) \\ =3\times (-7\mathrm{p})+3\times 8 \\ =-21\mathrm{p}+24 \end{gathered}$$. [ Sign convention : (+) x (+) = (+) ; (+) x (-) = (-) ; (-) x (-) = (+) ; (-) x (+) = (-) ]

Hence , $-21\mathrm{p}+24$ Is the product