Question

Find the product. (r s)2 r² 2rs s r² 2rs s² r² 2rs 2s².

Answer 1

The product of the given expression is $\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$.

Given

The product of $\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2$.

What is multiplication?

Multiplication is the process of calculating the product of two or more numbers.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

The product of $\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2$ is given by;

$\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2\\\\(2r^3 + 2r^2s) + 2rs + 2rs + 2rs + s^2r^2 + sr^2 + 2s^2\\\\2r^3+ 2r^2s + 6rs + s^2r^2 + sr^2+ 2s^2$

$\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$

Hence, the product of the given expression is $\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs$.

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