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3 years ago

8

What is (2+y)³ written out?

1 answer:

Karolina [17]3 years ago

7 0

(2x + y)³
(2x + y)(2x + y)(2x + y)
(2x(2x + y) + y(2x + y))(2x + y)
(2x(2x) + 2x(y) + y(2x) + y(y))(2x + y)
(4x² + 2xy + 2xy + y²)(2x + y)
(4x² + 4xy + y²)(2x + y)
4x²(2x + y) + 4xy(2x + y) + y²(2x + y)
4x²(2x) + 4x²(y) + 4xy(2x) + 4xy(y) + y²(2x) + y²(y)
8x³ + 4x²y + 8x²y + 4xy² + 2xy² + y³
8x³ + 12x²y + 6xy² + y³

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Answer:

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Step-by-step explanation:

$(x + 2)(x - 3)$

Multiply each term in the first parentheses by each term in the second parentheses ( FOIL)

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Calculate the product

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Collect like terms

${x}^{2} - x - 6$

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lesya [120]

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