Question

Multiply the binomials: $\left(a+3b\right)$ and$(2.5l+0.5m)$

Answer 1

Step 1: Follow the following steps to multiply two binomials.

• Apply distributive law of multiplication.
• Multiply every term of one binomial with every term in the other binomial.
• Look for like terms, if any, and combine them.

Step 2: Multiply $\left(a+3b\right)$ and$\left(x+5\right)$.

$\begin{array}{l}\left(a+3b\right)\times \left(x+5\right)\\ =\left(a+3b\right)\times x+\left(a+3b\right)\times 5\\ =ax+3bx+5a+15b\end{array}$

Hence the product of $\left(a+3b\right)$ and$\left(x+5\right)$ is $ax+3bx+5a+15b$.