Chapter 8.3, Problem 1P

Simplify each product using the Distributive Property.

$(x+3)(x+8)$

To determine

To simplify: $(x+3)(x+8)$ using the Distributive Property.

Answer to Problem 1P

  $x^2+11x+24$

Explanation of Solution

Given information: $(x+3)(x+8)$

Calculation:

  $\begin{array}{l}(x+3)(x+8)\\ =x(x+8)+3(x+8)\\ =x\cdot x+x\cdot 8+3\cdot x+3\cdot 8\\ =x^2+8x+3x+24\\ =x^2+11x+24\end{array}$

Thus, $(x+3)(x+8)=x^2+11x+24$