Use the binomial theorem to find the coefficient of xayb in the expansion of (2x3-4y2)7 for a) a = 9, b = 8; b) a = 8, b = 9; c) a = 0, b = 14;

Q: the coefficient of a³b2 in (a + b)5+ (a + b²)¹.

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Q: 3. Find the 8th term in the binomial expansion of (x² + y³)10. correct combination, evaluating…

A: We will find the 8th term.

Q: 3. (a) Use the Binomial Theorem to expand and simplify (3a²-4b)6

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

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Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

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Q: The fourth term in the expansion (2x – 3) -3 is 270 64x6 O 270 32x6 O 270 64x3 O 540 64x3

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Q: 6) Use Binomial expression in the form (a + b)¹: (x-2)5 + 10(x - 2)4 + 40(x - 2)³ + 80(x - 2)² +…

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Q: 1. Use the binomial theorem to expand (a) (1+x)* and (b) (1+x). 2. Use the binomial theorem to…

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Q: Explain/show how to find the fifth term in the expansion of the binomial (2r + 3y) by using the…

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Q: Expand the following using the Binomial Theorem or Pascal's Triangle: (x- 2)* a. x*-8x3 + 32x + 16…

A: Binomial expansion formula (a+b)n=C0nan+C1nan-1b+C2nan-2b2.......................Cnnbn

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: n (x - 1)" The sixth term of the expansion of x is 1287 8 X 3125 . Determine n.

A: Let us consider the expression a+bn. The binomial expansion of the given expression is , a+bn=C0n…

Q: Write out the full expansion of (x + y)^7 using either binomial coefficients or Pascal’s Triangle to…

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Q: Use the binomial theorem to show that 72 Σ(1) ( **(?). i-0 0.

A: Use binomial theorem to show that given formula.

Q: 2. Determine the value of (k) in each of the terms below from the binomial expansion of 15 (a + b)…

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Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

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