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

User Basanta
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1 Answer

19 votes
19 votes

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

User Rickimaru
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