use the chart to multiply the binomial by the trinomial. which polynomial is the correct product? (2y +…

use the chart to multiply the binomial by the trinomial. which polynomial is the correct product? (2y + 3)(3y²+4y + 5) 15y³+17y²+22y + 15 6y³+17y²+22y + 15 6y³+20y²+22y + 15 6y³+17y²+22y + 25
Answer
Explanation:
Step1: Multiply 2y by each term in trinomial
$2y\times3y^{2}=6y^{3}$, $2y\times4y = 8y^{2}$, $2y\times5=10y$
Step2: Multiply 3 by each term in trinomial
$3\times3y^{2}=9y^{2}$, $3\times4y = 12y$, $3\times5 = 15$
Step3: Combine like - terms
$6y^{3}+(8y^{2}+9y^{2})+(10y + 12y)+15=6y^{3}+17y^{2}+22y + 15$
Answer:
$6y^{3}+17y^{2}+22y + 15$