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,

$(2x^3y+5xy^4)(3x^2)=2x^3y\times3x^2+5xy^4\times3x^2$

(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,

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