11. Find the fifteenth term in the expansion of (x2 - -) 18

Q: This answer is incorrect. The correct answer is (100/50!)^2.

A: The answer cannot be

Q: ind witnesses to show that n^3 − 5n^2 − 4n is O(n^3).

A: In this question, order of polynomial can be found with the help of Big-O notation. Big-O Notation…

Q: Rationalize the denomi 20 5/10 - 7/5

A: 20510-75

Q: Use the the Binomial Theorem to calculate 11^11 (just giving the end result is not enough.)

A: To find the value of 1111 using the binomial theorem. Now, the Binomial expansion of (1+x)n is:…

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: What are the steps to prove 4(x-3/2)^2 = (2x-3)^2

A: Given: 4x-322=2x-32 We have to prove left hand side of equation is equal to the right hand side of…

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

A:

Q: how does (root2)^n come about

A: We show that how  (√2)^n has come out. The rest of the part of solution is correct

Q: Suppose that 2^n − 1 is prime. Show that n must also be prime. (Hint: try to find a convenient…

A: Given that 2n-1 is prime. To prove that n must also be prime. On the contrary let us assume that n…

Q: (6.5*10^4)+8918/9.499*10^5

A: We have to simplify the following expression -  6.5×104+89189.499×105

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

A:

Q: What is the coefficient of (x^8)(y^12) in the expansion of (2x+3y)^20

A:

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

A:

Q: Compute phi(6^2 x 4^3). (Note that this is not a prime power factorization.)

A:

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

A:

Q: (x +)". 10 Determine the coefficient of x-² in the full expansion of

A: