Chapter 4.6, Problem 16WE

To determine

To multiply: the expression $\left(5k+2\right)\left(2k-3\right)$ using horizontal form.

Answer to Problem 16WE

The result of multiplication is $10k^2-11k-6$ .

Explanation of Solution

Given:

The expression is $\left(5k+2\right)\left(2k-3\right)$ .

Calculation:

Steps in horizontal form method are:

• Separate the two binomials using multiplication sign.
• Multiply first binomial with each terms of second.
• Combine of add the like terms.

The given expression is solved as follows:

  $\begin{array}{l}\Rightarrow \left(5k+2\right)\left(2k-3\right)\\ \Rightarrow \left(5k\right)\times \left(2k-3\right)+2\times \left(2k-3\right)\\ \Rightarrow 10k^2-15k+4k-6\\ \Rightarrow 10k^2-11k-6\end{array}$

Thus, the result of multiplication is $10k^2-11k-6$ .