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Sagot :
The product of the given expression is [tex]\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs[/tex].
Given
The product of [tex]\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2[/tex].
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 [tex]\rm 2r^2(r + s) + 2rs + s^2 + 2rs + s^2r^2+ 2rs + 2s^2[/tex] is given by;
[tex]\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[/tex]
[tex]\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs[/tex]
Hence, the product of the given expression is [tex]\rm 2r^3+ s^3r^3+ 2r^3s + sr^3+ 2s^3+ 6rs[/tex].
To know more about Multiplication click the link given below.
https://brainly.com/question/19943359
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