Question:
Find the following product:
4.1xy(1.1x − y)
Solution:
To find the product, we will use distributive law as follows:
4. $1 x y(1.1 x-y)$
$=(4.1 x y \times 1.1 x)-(4.1 x y \times y)$
$=\{(4.1 \times 1.1) \times x y \times x\}-(4.1 x y \times y)$
$=\left(4.51 x^{1+1} y\right)-\left(4.1 x y^{1+1}\right)$
$=4.51 x^{2} y-4.1 x y^{2}$
Thus, the answer is $4.51 x^{2} y-4.1 x y^{2}$.