15. Determine the coefficient of the term that contains 16 in the expansion of 11 (2²+5) ¹¹

Q: In the expansion of (2 + 4y?) a. How many terms are in the expansion after like terms have been…

A: We will find the answers of all parts using binomial expansion.

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

A:

Q: Use the compound interest formula A=P(1+r)t and the given information to solve for t.   A=​$36,000​,…

A: Compound interest: Formula : A=P1+rt  where ; A is the amount . P is the principal or invested…

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: 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…

A:

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

A:

Q: 2. Expand by multiplying 'o) a) (3x+ 4)(2x - 2) b) (2x - 7)(-4x + 5) c) -4y(-4x -5y)

A: Given  a) (3x+4)(2x-2) Multiplying,  (3x+4)(2x-2) = (3x)(2x-2)+4(2x-2)…

Q: Find a, b, and n in the expansion of (a + b)" if the first three terms of the expansion are 729,…

A:

Q: √3-4

A:

Q: If x is positive, the first negative term in the expansion of (1 + x)27/5 is (a) 5th term (b) 6th…

A: Introduction :

Q: 4. Rewrite n with a fractional exponent

A: Given,

Q: What is the coefficient of the second term in a binomial that is raised to the sixth power? 5 15 20…

A:

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: In the expansion of (4x + y) ^ 9, the coefficient of x3y4 is

A:

Q: Answer the following: a) What is the general term of (x-y)xy? b) In the expansion of (1+x)^n the…

A:

Q: Find the coefficient of a?bi in the expansion of (2a - bj)^5

A:

Q: 1. Arrange the terms of the dividend in descending powers x-3 ) 2x-3xe -x+ 4

A:

Q: Calculate the coefficient of 7 in the Binomial expansion of (x² + x−¹)¹7.

A: Given that x2+x-117  This is in the form x+an Here  x=x2  , a=x-1  and n=17   .

Q: Find the sum of the coefficients in the expansion of (2x² + X a. 15,625 b. 10,765 C. 20,485 d.…

A:

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: What is the coefficient of ?^11?^13 in the expansion (−3?+4?)^24.

A: It is asked to find coefficient of x11.y13 in the expansion of (-3x+4y)24.

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

A:

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: Motorcycle license plates in the state of California start with two digits(0–9), followed by one…

A: There are a total of 6 digits and one letter on the license plate and repetition is not allowed.…

Q: We are given the continued fraction expansion for the square root of 89: [9; 2, 3, 3, 2, 18, 2, 3,…

A:

Q: Ex: Let R = {0, a,b,c} + a G a a b ( a 6 2 2 G b C 0 a C b a O a a b b (C b • @ Show that (R, +,-)…

A:

Q: 1. Suppose when using the Binomial Theorem an expansion turned out to be the expression as shown…

A: Formula for Binomial theorem: a+bn=an+nan-1b+nn-12!an-2b2+nn-1n-23!an-3b3+.....+bn Given expression:…

Q: I simplified 6. 3 - x + 5 7 1 + x - 4 3 – 6(x – 4) by multiplying by 1 and obtained - 1 + 7(x + 5)

A: We have, 3-6x+51+7x-4

Q: What is the coefficient of x4y2z6 in the expansion of (3x² + 2y + 3z3)6?

A: Apply binomial theorem and isolate the coefficient