Coefficient of x*yl2 in opening of (2x + 3y)20

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: The expansion of (1 - x)® = A 1+4x - 7x² + . B 1- 4x + 7x2 - C 1+ 4x - 7x2 + Đ 1- 4x + 7x² – 23.

A: Please see the explanation below

Q: Multiply: (a) (m + 2)(m – 2), (b) (3y + 4)(3y – 4), (c) (b -6 +), and (d) (tª – 6u)(tª + 6u). To…

A: To find the product of two binomials, we generally use the FOIL (First, Outer, Inner, Last) method.…

Q: Expand (x+2)(x+5)

A: This expansion can be done using distributive property. According to this property multiply of sum…

Q: Which of the followings is/are in the expansion of (a+b)^6?

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Q: Evaluate (6 – 5)^2 by working within the parentheses first. Evaluate 6^2 – 5^2. Compare the answer…

A: Evaluate (6 – 5)^2 Evaluate 6^2 – 5^2.

Q: (*+)(LX +ン 2" (2n +1)

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Q: 2.xxX-Y) (xX+1)

A: This is the problem of multiplying binomial. It has been done step by step. See the attached image

Q: what is the coefficient of x^4 in (2x+1)^5

A: 2x+15 Comparing with a+bn, we get a=2x,  b=1  &  n=5

Q: What is the coefficient of the term x^3y^2 expansion of (3x - y2)4?

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Q: Find the term that contains x^8 in the expansion of (3x-1)^11

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Q: . What is the coefficient of ?^4 when (3+4x^2)^3 is expanded?

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Q: Find the coefficient of x24 in (x + x2 + x3 + x4 + x5 )8

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Q: What is the coefficient of x^4 in the expansion of (-1+ x)^11

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Q: Expand (4-x)^4 by using binomial expansion

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Q: What is the coefficient of x^8 in the expansion of (2+x)^11?

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Q: divide x – 6x² – 9 by x + 6 | 1089 O x³ + 6x² + 42x + 180 + x+6 -x3 – - 6x² + 30x – 180 10 X- 1071 O…

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Q: what is the coefficient of X^9 in (x+3)^13

A: An algebric expression of two number connected by operations "+" or "-" is called binomial. The…

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

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Q: What is the coefficient of (x^8)(y^12) in the expansion of (y+x)^20

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Q: Find the coefficent of x^6 in the following: (1 + 2x + 4x^2 + 8x^3 + ...)(3x^2 + 3x^4 + 3x^6 +…

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Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: Find the x^2y^3 term in the expansion of (3x + y)^5. Simplify your answer so it does not include any…

A: Given that (3x+y)5