Question

Multiply binomial ( x + 8)(x + 3)

Answer 1

Given:

( x + 8)(x + 3)

To multiply the binomial, we use FOIL method as shown below:

$(a+b)(c+d)=ac+ad+bc+bd$

So,

$\begin{gathered} \mleft(x+8\mright)\mleft(x+3\mright)=(x)(x)+(x)(3)+(8)(x)+(8)(3) \\ \text{Simplify} \\ =x^2+3x+8x+24 \end{gathered}$

Next, we collect like terms:

$\begin{gathered} =x^2+(3x+8x)+24 \\ \text{Simplify} \\ =x^2+11x+24 \end{gathered}$

Therefore, the answer is:

$x^2+11x+24$