Question

Find the following product: \[\frac{6x}{5}( x^3 + y^3 )\]

Answer 1

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

\[\frac{6x}{5}\left( x^3 + y^3 \right)\]

\[ = \frac{6x}{5} \times x^3 + \frac{6x}{5} \times y^3 \]

\[ = \frac{6}{5} \times \left( x \times x^3 \right) + \frac{6}{5} \times \left( x \times y^3 \right)\]

\[ = \frac{6}{5} \times \left( x^{1 + 3} \right) + \frac{6}{5} \times \left( x \times y^3 \right)\]

\[ = \frac{6 x^4}{5} + \frac{6x y^3}{5}\]

Thus, the answer is \[\frac{6 x^4}{5} + \frac{6x y^3}{5}\].