Question

Find the following product:
4.1xy(1.1x − y)

Answer 1

To find the product, we will use distributive law as follows:

$$\begin{gathered} 4.1xy\left(1.1x-y\right) \\ =\left(4.1xy\times 1.1x\right)-\left(4.1xy\times y\right) \\ =\left\{\left(4.1\times 1.1\right)\times xy\times x\right\}-\left(4.1xy\times y\right) \\ =\left(4.51x^{1+1}y\right)-\left(4.1x{y}^{1+1}\right) \\ =4.51x^{2}y-4.1x{y}^2 \end{gathered}$$

Thus, the answer is $4.51x^{2}y-4.1x{y}^2$.