Chapter 8.4, Problem 14MCQ

To determine

To Simplify: The product $\left(4b-1\right)\left(b-8\right)$

Answer to Problem 14MCQ

The solution of the product $\left(4b-1\right)\left(b-8\right)$ is $4b^2-33b+8$ .

Explanation of Solution

Given information:

The product $\left(4b-1\right)\left(b-8\right)$

Concept and Formula Used:

The property $a^m\times a^m=a^{m+n}$

Distributive property.

Calculation:

The given product is $\left(4b-1\right)\left(b-8\right)$

Using the distributive property.

  $\begin{array}{l}\left(4b-1\right)\left(b-8\right)=4b\left(b-8\right)-1\left(b-8\right)\\ \left(4b-1\right)\left(b-8\right)=4b^2-32b-b+8\\ \left(4b-1\right)\left(b-8\right)=4b^2-33b+8\end{array}$

Conclusion:

The solution of the product $\left(4b-1\right)\left(b-8\right)$ is $4b^2-33b+8$ .