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Use the chart to multiply the binomial by the trinomial. Which polynomial is the correct product?
15y3 + 17y2 + 22y + 15 6y3 + 17y2 + 22y + 15 6y3 + 20y2 + 22y + 15 6y3 + 17y2 + 22y + 25

Use the chart to multiply the binomial by the trinomial Which polynomial is the correct product 15y3 17y2 22y 15 6y3 17y2 22y 15 6y3 20y2 22y 15 6y3 17y2 22y 25 class=

Respuesta :

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

Answer:  [tex]6y^3 + 17y^2 + 22y + 15[/tex]

Step-by-step explanation:

Here, the given expression, [tex](2y+3). (3y^2+4y+5)[/tex]

By applying distribution property in second bracket,

=  [tex]3y^2(2y+3)+4y(2y+3)+5(2y+3)[/tex]

=  [tex]6y^3+9y^2+8y^2 +12y+10y+15[/tex] ( again by applying distributive property)

= [tex]6y^3+17y^2 +22y+15[/tex]  ( by adding like terms)

Thus, [tex](2y+3). (3y^2+4y+5)[/tex]= [tex]6y^3+17y^2 +22y+15[/tex]


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