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pogonyaev
3 years ago
12

Using the binomial theorem, expand the expression (4 + y) to the power of 4

Mathematics
1 answer:
Flauer [41]3 years ago
8 0

Answer:

When raised to the power of 4, the binomial (4 + y) expands to:

y^4 + 16y^3 + 96y^2 + 256y + 256

Step-by-step explanation:

(4 + y)^4 \\= (y^2 + 8y + 16)^2\\= y^4 + 8y^3 + 16y^2 + 8y^3 + 64y^2 + 128y + 16y^2 + 128y + 256\\= y^4 + 16y^3 + 96y^2 + 256y + 256

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