Chapter 1.2, Problem 49PPS

To determine

To find:

Simplify the each quotient of $a^{2}bc-b^2\text{if}a=8\text{and}b=4,c=16$ .

Answer to Problem 49PPS

The value is $4080$ .

Explanation of Solution

Given:

  $a^{2}bc-b^2\text{if}a=8\text{and}b=4,c=16$ .

Concept used:

Product means the answer to a multiplication problem

Sum means the total amount resulting from the addition of two or more numbers amounts or items

Quotientmeans a result obtained by dividing one quantity by another

Calculation:

The equation is

  $=a^{2}bc-b^2\text{if}a=8\text{and}b=4,c=16$

Putting $\text{if}a=8\text{and}b=4,c=16$

  $\begin{array}{l}=a^{2}bc-b^2\\ =8^2\left(4\right)\left(16\right)-4^2\\ =64\left(4\right)\left(16\right)-16\\ =4096-16\\ =4080\end{array}$

Therefore,

The value is $4080$ .