What is the coefficient of the term that involves 7 in the expansion of (x + 2y)0? O 840 1,680 960 120

Q: 10 3 Consider the expansion of

A: Given that The aim is to find the coefficient of in So, to find r for the general term,

Q: Expand the expression by using Pascal's triangle : (2x+4y)^7

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Q: What is the coefficient of the following term

A: The binomial expansion of a series is given by the expression (x+y)n=∑k=0nCknxn-kyk. Thus, the…

Q: you add the expor 2013 +3 f

A: Given data : If you add the exponents of the expansion (1000a - 2000b)14 what is the sum?

Q: a. Use your values of a, b and c to find the term independent of x in the expansion of 5 1 (2 + 9x)2…

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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: Find the coefficient of a3b9 in the binomial expansion of  (36a - 1/6 b)^12

A: Answer

Q: 4 a) (x² + b) (- x*)*

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Q: pansion of (x + 3) ¹7+ x³(x+ 17 3

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Q: The exponent of 11 in the prime factorization of 300! is

A: 300!=1×2×3×....×299×300 From 1 to 300 we have numbers 11, 22, 33, ..., 297 which are divisible by…

Q: 4. Rewrite n with a fractional exponent

A: Given,

Q: What is 3/2 * 4!

A:

Q: Use the first 3 terms in the expansion of (2+5x)6 to approximate the value of (2.05)6

A: We know that a+bn = C0nan-0b0 + C1nan-1b1 + … + Cnnan-nbn

Q: Multiply A321 -1 10 -7 0 Show your your work!

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Q: What is the coefficient of 8 in the expansion of (x + 1)¹³ + x²(x + 2) ¹6 ? 13

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Q: Find the term that does not contain x in the expansion of (12x − 3)³.

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Q: 21 In the expansion of (x +y), write the value of the exponent k in the term that containsr2k--4,,3k

A: In the expansion x+y21, we have to write the value of the exponent k in the term that contains…

Q: Write the first 3 terms of the expansion of (3x - ) – 2)" and simplify |

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Q: What is true about the sum of the exponents on a and b in any term in the expansion of (a + b)n?

A: We have the binomial expansion:…

Q: Find an expression, in terms of n for the coefficient of x in the expansion (1+4x) + (1+4x)² +…

A: ANSWER :

Q: Describe the pattern in the exponents on a in the expansion of (a + b)n.

A: The binomial expansion of a+bn can be written as,…

Q: What is the coefficient of p5q5 in the expansion of (p+q)10?

A: