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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kolezko [41]

So,

We need to convert the gallons into cups.

1 gal. = 16 c.

2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44

3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58

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There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.

44 - 35 = 9 cups of lemonade

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Obviously, then, Bob will have enough drinks.

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Mademuasel [1]

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