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olchik [2.2K]
11 months ago
5

Expand the function. (2x+y)^(7)

Mathematics
1 answer:
iragen [17]11 months ago
6 0

The binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.

<h3>How to expand the power of a binomial</h3>

Herein we have the seventh power of a binomial, whose expanded form can be found by using the binomial theorem and Pascal's triangle. Hence, we find the following expression for the expanded form:

(2 · x + y)⁷

(2 · x)⁷ + 7 · (2 · x)⁶ · y + 21 · (2 · x)⁵ · y² + 35 · (2 · x)⁴ · y³ + 35 · (2 · x)³ · y⁴ + 21 · (2 · x)² · y⁵ + 7 · (2 · x) · y⁶ + y⁷

128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷

Then, the binomial (2 · x + y)⁷ in expanded form by 128 · x⁷ + 448 · x⁶ · y + 672 · x⁵ · y² + 560 · x⁴ · y³ + 280 · x³ · y⁴ + 84 · x² · y⁵ + 14 · x · y⁶ + y⁷.

To learn more on binomials: brainly.com/question/12249986

#SPJ1

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In general, surface area is the sum of the areas of each face of a prism.  In a rectangular prism, we have length, width, and height.  

The area of the bottom of the prism and the top of the prism is the same, and can be represented as l*w.  This means that together, it is 2lw.

The area of the left and right faces of the prism is the same, and can be represented as l*h.  This means that together, it is 2lh.

The area of the front and back faces of the prism is the same, and can be represented as w*h.  This means that together, it is 2wh.

This gives us the equation

SA = 2lw+2lh+2wh

If we double the length and width, making them each 2l, we then have:

SA = 2(2l*2w) + 2(2l*h) + 2(2w*h)
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3 years ago
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Answer:

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Step-by-step explanation:

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egoroff_w [7]

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Step-by-step explanation:

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