Question

Multiply the binomials: $(2x+5)$ and $(4x-3)$

Answer 1

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

• Apply the 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 $(2x+5)$ and$(4x-3)$.

$\begin{array}{l}\left(2x+5\right)\times \left(4x-3\right)\\ =2x\left(4x-3\right)+5\left(4x-3\right)\\ =8x^2-6x+20x-15\\ =8x^2+14x-15\end{array}$

Hence the product of $(2x+5)$ and$(4x-3)$ is $8x^2+14x-15$.