Chapter 8, Problem 28SGR

To determine

To calculate the product.

Answer to Problem 28SGR

  $6r^2+rt-35t^2$

Explanation of Solution

Given:

Expression: $(3r-7t)(2r+5t)$

Calculation:

Consider the expression,

  $\Rightarrow (3r-7t)(2r+5t)$

On simplifying,

  $\begin{array}{l}\Rightarrow (3r-7t)(2r+5t)\\ \Rightarrow (3r\times 2r)+(3r\times 5t)+(-7t\times 2r)+(-7t\times 5t)\\ \Rightarrow 6r^2+15rt-14rt-35t^2\\ \Rightarrow 6r^2+rt-35t^2\end{array}$

Conclusion:

Therefore, the product is $6r^2+rt-35t^2.$