Chapter SH, Problem 14.5.9EP

To determine

To multiply:the given expression

Answer to Problem 14.5.9EP

The required result is $16n^2-20n+6$

Explanation of Solution

Given: $(4n-3)(4n-2)$

Calculation:

Apply the FOIL method.

Here first terms are $4n,4n$ .

Product of first terms is $4n\times 4n=16n^2$ .

Here outer terms are $4n,-2$ .

Product of outer terms is $4n\times -2=-8n$ .

Here inner terms are $-3,4n$ .

Product of inner terms is $-3\times 4n=-12n$ .

Here last terms are $-3,-2$ .

Product of last terms is $-3\times -2=6$ .

Add all the products.

  $\begin{array}{l}(4n-3)(4n,-2)=16n^2-8n-12n+6\\ \text{ =}16n^2-20n+6\text{ (simplify)}\end{array}$

Conclusion:Hence, the result is $16n^2-20n+6$.