Chapter 8.2, Problem 1P

Simplify each product.

$1.2x(x+8)$

To determine

To find: $2x(x+8)$

Answer to Problem 1P

  $2x^2+16x$

Explanation of Solution

Given information: $2x(x+8)$

Calculation:

  $\begin{array}{l}2x(x+8)\\ =2x\cdot x+2x\cdot 8[\because a(b+c)=ab+ac]\\ =2x^{1+1}+16x[\because a^y{a}^z=a^{y+z}]\\ =2x^2+16x\end{array}$

Thus, $2x(x+8)=2x^2+16x$