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givi [52]
2 years ago
8

What is the coefficient of X^2Y^2 in the expansion of (x+y)^4

Mathematics
1 answer:
nata0808 [166]2 years ago
3 0

Answer:

6

Step-by-step explanation:

We want to expand this; (x + y)⁴

This can be written as;

(x + y)² × (x + y)²

This gives;

(x² + 2xy + y²) × (x² + 2xy + y²)

This gives;

x²(x² + 2xy + y²) + 2xy(x² + 2xy + y²) + y²(x² + 2xy + y²) = x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴

Simplifying gives;

x⁴ + 4x³y + 4xy³ + 6x²y² + y⁴

Thus, the coefficient of x²y² is 6

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12

Step-by-step explanation:

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3 years ago
When using bits to represent fractions of a number, can you create all possible fractions?.
mafiozo [28]

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For example,

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and so on, so that it has a repeating but non-terminating base-2 representation

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5 0
1 year ago
What is the median in the following number set?<br> 34, 71, 45, 21, 88, 53
satela [25.4K]

Answer:

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Step-by-step explanation:

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2 years ago
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Yuliya22 [10]

Answer:

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Step-by-step explanation:

y=2/3x+b

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y=2/3x+b

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7 0
3 years ago
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81.25 miles.

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