Question

Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?

Answer 1

Answer:  $6y^3 + 17y^2 + 22y + 15$

Step-by-step explanation:

Here, the given expression, $(2y+3). (3y^2+4y+5)$

By applying distribution property in second bracket,

=  $3y^2(2y+3)+4y(2y+3)+5(2y+3)$

=  $6y^3+9y^2+8y^2 +12y+10y+15$ ( again by applying distributive property)

= $6y^3+17y^2 +22y+15$  ( by adding like terms)

Thus, $(2y+3). (3y^2+4y+5)$= $6y^3+17y^2 +22y+15$

Answer 2

The awnser is :
6y^3 + 17y^2 + 22y + 15
Hope it helps