W 2. Using the binomial theorem expression, what is the expansion of (x + 3y)°? O (z + 3y) = 25 + 15x*y+ 90x³y² + 270x²y³ + 405xy^ + 243y5 |3D O (2 + 3y) = 25 + 2*y+ z*y? + z®y³ + zy* + yf %3D O (* + 3y) = x + 5x*y+10x°y² + 10x²y³ + 5yA + y %3D O (r +3y) = y + 15y*x +90y°æ² + 270y²a + 405yx + 2435 %3D

Q: Use Pascal's Triangle to determine the expansion of (y+4)°

A: This is what pascal's triangle looks like. In the expansion of a degree n polynomial such as (a +…

Q: Expand 3x + 2y)7 using the binomial theorem. Simplify your final result.

A:

Q: Find the coefficient of a-2 in the binomial expansion of  (27a2 - (1/81a3))9

A: Let us consider the expansion x+yn The binomial expansion is obtained as x+yn=∑k=0nCknxn-kyn

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A:

Q: 25. Which is the correct expansion of (x + 4y)³ using the binomial theorem? O ○ (x + 4y)³ = (3)…

A: Given, (x+4y)3

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A: Binomial Expansion :            (x+y)n =(n0)xn y0 + (n1)xn-1 y1 + (n2) xn-2 y2 + ... +(nn-1) x1 yn-1…

Q: 1. Use the binomial theorem to fully expand (x² - 2y)4. Expectations Each term of the full expansion…

A:

Q: 24 + * ? 8 What is the coefficient for the yl8 term in the expansion of (5x°y²

A: We use the Binomial Theorem to answer the given question.

Q: 4.-Use the binomial theorem to find the first four terms of development 1 (4 + x)2

A: We have to find the first four terms of the expression (4+x)−12, we'll first rewrite it…

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A:

Q: 12. The first four terms of the binomial expansion of (1 - )' A I+ 4x + 7x² + 7x B 1- 4x – 7x + 7x³…

A: 1

Q: 3. Use the binomial theorem to prove that 2n 2n |22n–2k = (2.5)2". k k=0

A:

Q: a) Determine the coefficient of x^3*y^4 in the expansion of (2x+y)^12. b) Determine the coefficient…

A: The objective of the question is to find the coefficients of specific terms in the expansion of…