Question

What is the product of 4xy and y2 + 2x?

4xy + 4xy 3

8x 2y + 4xy2

8x 2 + 4xy 3

8x 2y + 4xy3

Answer 1

`4xy\cdot(y^2+2x)=(4xy)(y^2)+(4xy)(2x)=4xy^(1+2)+(4\cdot2)x^(1+1)y\\\\=4xy^3+8x^2y=8x^2y+4xy^3`


`\text{Used:}\\\\a^n\cdot a^m=a^(n+m)\\\\a\cdot b=b\cdot a`