How to compare two numbers using binomial theorem. Explain step by step

Q: expand and simplify (3m+2n)^4 using the binomial theorem.

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Q: Use the binomial theorem to find 9C3

A: To find: Use the binomial theorem to find 9C3

Q: Expand the expression using the Binomial Theorem: x5+ 405 x+ 270 (3x - 1)5 = 243 15 x+ 1 x³+90 x² +

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Q: Which binomials are correct for the roots 7 and -2? F oudy O (x-7)(x-2) O (x + 7)(x-2) O (x+7)(x+2)…

A: The given roots are 7 and -2.

Q: How many trailing zeroes (zeroes at the end of the number) does 60! have? 14 12 10 8

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Q: value of the expression 10×4^2−6×3+3

A: 10×42−6×3+3

Q: Multiply using either the formula for the square of a binomial or for the product of the sum and…

A: The given equation is: 5m2 + 3n5m2-3n

Q: How to test the divisibility by a number using binomial theorem. Explain step by step.

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Q: What is the formula for calculating binomial coefficients?

A: The binomial coefficient is represented in following ways and it is read as n choose k.

Q: Which binomial is a factor of 3x3+3z2 + I +1? O 3r +1 .2 O 3x2-1 O r-3 O r+3

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Q: Evaluate the given binomial coefficient

A: Binomial coefficient: It is denoted by Ckn=nk=n!k!(n-k)!

Q: Find the indicated term of the binomial expansion. (p^3+3q)^7 find the term containing p^12

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Q: Q4 Derive a recursion for q-binomial coefficients and use it these are polynomials with non-negative…

A: Let us suppose 0<k<n then, nkq-n-1k-1q=qn-1qk-1-1n-1k-1q=qkqn-k-1qk-1-1n-1k-1q  =qknk-1q

Q: 21. n n-1/

A: Please see the answer below.

Q: How do I create a binomial situation using n = 5.

A: Given:- binomial distribution n=5   now, let X~Binn,p here n=5 in binomial distribution we calculate…

Q: Problem #4: A matrix with complex entires is called unitary if A-¹ = A*, where A* is the conjugate…

A: A matrix is said to be unitary if A-1=A∗ where A∗ is the conjugate transpose

Q: Find the binomial expansion of (3a+2b)^6

A: In this question, we find the binomial expansion of (3a+2b)^6.

Q: division fas

A:

Q: What does the algebraic term binomial coefficient means? Explain with examples.

A: Binomial Coefficient:

Q: In binomial if g(x) =0, then

A: Given:  gxnx=0                                        (1)