Question

Find the following product:
1.5x(10x²y − 100xy²)

Answer 1

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

\[1 . 5x\left( 10 x^2 y - 100x y^2 \right)\]

\[ = \left( 1 . 5x \times 10 x^2 y \right) - \left( 1 . 5x \times 100x y^2 \right)\]

\[ = \left( 15 x^{1 + 2} y \right) - \left( 150 x^{1 + 1} y^2 \right)\]

\[ = 15 x^3 y - 150 x^2 y^2\]

Thus, the answer is \[15 x^3 y - 150 x^2 y^2\].