Question

What is the product of 3x^2 and 2x^3y+5xy^4 ?

Answer 1

The product of two expressions can be calculated using distributive property as,

`(2x^3y+5xy^4)(3x^2)=2x^3y*3x^2+5xy^4*3x^2`

(Distributive property (A+B)C=AC+BC) )

`\begin{gathered} (2x^3y+5xy^4)(3x^2)=6x^(3+2)y+15x^(1+2)y^4 \\ =6x^5y+15x^3y^4 \end{gathered}`

Therefore, the product of the expressions is,

`6x^5y+15x^3y^4`