Chapter 8, Problem 5PT

To determine

To calculate the product

Answer to Problem 5PT

  $6a^2-5a-25$

Explanation of Solution

Given:

Expression: $(2a-5)(3a+5)$

Concept used:

FIOL method:

Multiply the first term, inner terms, outer terms and last terms in each binomial.

Calculation:

Consider the expression,

  $\Rightarrow (2a-5)(3a+5)$

Applying FIOL method,

  $\begin{array}{l}\Rightarrow (2a\times 3a)+(-5\times 3a)+(2a\times 5)+(-5\times 5)\\ \Rightarrow 6a^2-15a+10a-25\\ \Rightarrow 6a^2-5a-25\end{array}$

Conclusion:

Thus, the product of the given terms is $6a^2-5a-25.$