a) Determine the coefficient of x^3*y^4 in the expansion of (2x+y)^12. b) Determine the coefficient of x^2*y^3*z^2 in the expansion of (2x-y+3z)^7.

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

A:

Q: Prachice Let a^Nerp) and 9nG6) be cindap cndant. Shaw that 7u^NB(t !,p).

A: Negative Binomial Distribution: If we have a sequence of trials each having two outcomes, say…

Q: 3. What is the leading coefficient in this polynomial ? -7x^3 + 5x^2 + 8x^4 - 9x^7 - 15 -7 -9 -15

A: From the given equation , first we find the degree of the equation Degree is 7 So the coefficient…

Q: Using Substitution to Evaluate a Definite Integral Use substitution to evaluate 1 x² (1+ 2x )°dx.

A:

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

A: Answer

Q: O write the expansion of : (3a+ 2b)$ , (4z – w) , - -→*

A: We have to expand the following expression by using binomial expansion

Q: Find the product and simplify if possible. ((n+k)^(2))/(n-k)*(n)/(n^(2)+nk)

A:

Q: In Exercises 1-8, multiply the monomials. 1. (3x?)(5x) 2. (4x)(6x*) 3. (3x?y*)(5xy") 4.…

A: We have to multiply the monomials: 3x25x4 Then we get, 3x25x4=3·5·x2+4=15x6 Hence the answer.

Q: Use the Binomial Theorem to expand and simplify (y2 -2)3 (y2+2)3.

A: Given expression is y2−23y2+23 We have to expand the expression y2−23y2+23 by using Binomial…

Q: A common divisor of the monomials 8a³x°, 4a²x°y•aª bx³y² is: ху, а 3,2 O (e) a³x®y? O (b) x°y? (c)…

A: To find :                The greatest common factor of two monomials, first find the prime…

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

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

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Q: Which of the following is the factored form of x^3 + 3x^2 – 10x – 24? * - O (x - 4)(x – 3)(x – 2) O…

A: Let f(x) = x3 + 3x2 - 10x - 24

Q: The first three terms in the expansion of (1 + ay)^n are 1, 12y, and 68y^2. Find a and n.

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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: Which of the following is not a factor of x^3 + 5x^2 - x - 5? * 5 puntos x + 1 x - 5 x + 5 x - 1…

A: Given the polynomial

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

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

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

Q: Expand (1 + 2x^2)^5 and write the resulting polynomial in standard form.

A: