Chapter 7.2, Problem 1E

To determine

To calculate: Describe the two ways to find the product of two binomial.

Answer to Problem 1E

Two ways to find the product of two binomial is distributive method and table method.

Explanation of Solution

Given information: We have given binomial terms $\left(h-8\right)\mathrm{and}\left(h-9\right)$ .

Calculation: The product of binomial terms using a table method $\left(h-8\right)\left(h-9\right)$ is

  $\begin{array}{l}\begin{array}{lll}\hfill & h\hfill & -9\hfill \\ h\hfill & h^2\hfill & -9h\hfill \\ -8\hfill & -8h\hfill & 72\hfill \end{array}\\ =h^2-8h-9h+72\\ =h^2-17h+72\end{array}$

The product of binomial terms using distributive method $\left(h-8\right)\left(h-9\right)$ is

  $\begin{array}{l}=\left(h-8\right)\left(h-9\right)\\ =h\left(h-9\right)-8\left(h-9\right)\\ =h^2-9h-8h+72\\ =h^2-17h+72\end{array}$

Thus, the answer is $h^2-17h+72$ .

These are two method to find the product of binomial.