Chapter 8.4, Problem 13MCQ

To determine

To Simplify :The product $\left(x+2\right)\left(x+9\right)$

Answer to Problem 13MCQ

The solution of the product $\left(x+2\right)\left(x+9\right)$ is $x^2+11x+18$ .

Explanation of Solution

Given information:

The product $\left(x+2\right)\left(x+9\right)$

Concept and Formula Used:

The property $a^m\times a^m=a^{m+n}$

Distributive property.

Calculation:

The given product is $\left(x+2\right)\left(x+9\right)$

Using the distributive property.

  $\begin{array}{l}\left(x+2\right)\left(x+9\right)=x\left(x+9\right)+2\left(x+9\right)\\ \left(x+2\right)\left(x+9\right)=x^2+9x+2x+18\\ \left(x+2\right)\left(x+9\right)=x^2+11x+18\end{array}$

Conclusion:

The solution of the product $\left(x+2\right)\left(x+9\right)$ is $x^2+11x+18$ .