Chapter 0, Problem 7PO

To determine

To find: the product of two bracket terms.

Answer to Problem 7PO

  $30p-56p+10$ .

Explanation of Solution

Given:

  $\left(5p-1\right)\left(6p-10\right)$ .

Concept used:

The foil method is used for multiplication two binomial in a particular order.

FOIL is abbreviation it stands for:

Multiplying the two First terms.

Multiplying the two Outer terms.

Multiplying the two Inner terms.

Multiplying the two Last terms.

Calculation:

Consider the following product:

  $\left(5p-1\right)\left(6p-10\right)$ .

Use the FOIL method as follows, first step is to write it in first outer inner last form as:

  $\left(5p-1\right)\left(6p-10\right)=5p\times 6p-5p\times 10-1\times 6p+1\times 10.$

Simplify as follow:

  $\begin{array}{l}\Rightarrow 30p^2-50p-6p+10.\\ \Rightarrow 30p-56p+10.\end{array}$

Hence, the value of the above product is $30p-56p+10$ .