Chapter 12.8, Problem 9MRE

To determine

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

  $\left(7t-2y\right)\left(7t+2y\right)$

Answer to Problem 9MRE

The solution for the multiplication of brackets is $49t^2-4y^2$ .

Explanation of Solution

Given information:

The equation:

  $\left(7t-2y\right)\left(7t+2y\right)$

Calculation:

Consider the equation,

  $\left(7t-2y\right)\left(7t+2y\right)$

The formula:

  $\begin{array}{l}\left(a-b\right)\left(a+b\right)\\ a^2-b^2\end{array}$

Solve these equations by this method of multiplications:

  $\begin{array}{l}\left(7t-2y\right)\left(7t+2y\right)\\ {\left(7t\right)}^2-{\left(2y\right)}^2\\ 49t^2-4y^2\end{array}$

Therefore, solution of the given brackets, $49t^2-4y^2$ .

Thus, the solution is, $49t^2-4y^2$ .