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

Mathematics

2 answers:

Alex777 [14]3 years ago

4 0

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

oksano4ka [1.4K]3 years ago

3 0

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

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