Chapter 12.8, Problem 7MRE

To determine

To calculate: The solution the system of equations with the help of multiplication.

  $\left(2x+1\right)\left(4x+2\right)$

Answer to Problem 7MRE

The solution for the multiplication of brackets is $8x^2+8x+2$ .

Explanation of Solution

Given information:

The equation:

  $\left(2x+1\right)\left(4x+2\right)$

Calculation:

Consider the equation,

  $\left(2x+1\right)\left(4x+2\right)$

Multiply the brackets with the help of multiplication method:

As:

  $\begin{array}{l}\left(a+b\right)\left(b+c\right)\\ ab+ac+b^2+bc\end{array}$

Solve these equations by this method of multiplications:

  $\begin{array}{l}\left(2x+1\right)\left(4x+2\right)\\ 8x^2+4x+4x+2\\ 8x^2+8x+2\end{array}$

Therefore, solution of the given brackets, $8x^2+8x+2$ .

Thus, the solution is, $8x^2+8x+2$ .