2. Write (n – 2)! using product (II) notation.

Q: In Z12, what is the order of a + b if a = 6 and a = 2? 6 2 3 8

A: SOLUTION-

Q: 7) Express as a product in simplest form: 4y/10x y3 - 2x/6xy

A: The given expression can be written as:  4y10x5y2.2x6xy The simplified form will be: ⇒8xy10x5y2.6xy⇒…

Q: 5) Expand using special product rules c) (12 – 4x)? d) (3y – 6)2

A: c. Given: Apply special product rule in the above expression.

Q: The coefficient of x-y* in the expansion of (4x-y)° is 240. O True

A: Given: the coefficient of x2y4 in the expansion is 240

Q: =D Write a recursive rule for a= 6(2)"-1

A:

Q: What is the last term in the expansion (2xy z+3x²y)4?

A: Consider the provided expression, 2xy2z3+3x2y4 Write the last term of the expression. Apply the…

Q: What is the coefficient of aº in the expansion of (x + 2)15 + x*(x +3)20?

A:

Q: Find the coefficient of x^2 in the expansion of (x+y)^12

A: This is a binomial expansion problem. Here we can use general concept of expanding a binomial…

Q: What is the coefficient of (a^7)*(b^4) in the expansion of (a+2b)^11?

A: The solution of the problem is given in the next step.

Q: What is the coefficient of xy- (the third term) in the expansion of (2x + 3y)'? 6. O -18 O 18 O 54

A: We have to find the coefficient of xy2 in the expansion of 2x+3y3.

Q: Find the 3rd term in the expansion of (a + b)6 in simplest form.

A: Given (a+b)6 We need to expand and find the third termgeneral expansion of (a+b)n (a+b)n=∑k=0n nk…

Q: 4-What response would you give to a classmate who makes the statement, "I don't need to learn the…

A: We have to explain why product rule is important.

Q: (-2)" (x+2)". n=1

A:

Q: Find the coefficient of x4 in the expansion of (2-3x)6

A:

Q: 101 99 200 . What is the coefficient of xy in the expansion of (2x - 3y)?

A:

Q: How many terms are there in the expansion of (4.x + 7y)0.+ (4x- 7y)10 ?

A:

Q: In Z12, what is the order of a +b if a = 6 and a = 2? 3 A C B.

A: SOLUTION-

Q: What is the coefficient of x^12.y^13 in expansion (x+y)^25 ?     clear ansswer plz

A:

Q: Suppose that Y - N(2.08,0²) with P(Y > 2.2)=0.274. Find ơ.

A: Here, Y is normally distributed with  Mean = 2.08  standard deviation = ? Given that  Probability…

Q: (xt - 4y)" 12

A: Let's find middle term of given function.

Q: Find the coefficient of x7 in the expansion of (x + 2)9

A:

Q: The 4th term in the expansion of (2x² – 3x)* is - 10 Ca (2r²)*(-3z)® O 10 C4 (2a²)°(–3x)“ O 10 C3…

A:

Q: What is the coefficient of x3y2x3y2 in the expansion of (2x−3y)5(2x−3y)5?

A: From the binomial expansion of (2x-3y)^5, we get the coefficient of x^3.y^2.

Q: 8. [8] What is the coefficient of y* in the expansion of (3y-2)'.

A:

Q: Consider the following expression. 3x x+4 What is the sum, and what are the restrictions for x? 3x…

A: It is simplification.

Q: Find the coefficient of x6 in the expansion of (2x-3)9

A:

Q: Find the product. 10 5.0 O 48xy .x * 0, y 0 25 O xy? -, x * 0, y 0 O 3xy², x + 0, y + 0 O 25xy° , x+…

A: Given: An expression for product 4x10y75x9y3·5x5y412x5y6

Q: (d) an 10"+1 +3 x 4"-1+5 is divisible by 9 for all n2 1,

A:

Q: What is the Coefficient o x' y b. 24 in (3x +y)? Plow monomials appear in +he meny expansion of (3x+…

A:

Q: What is the coefficient of x12y13 in the expansion of (2x+3y)25?

A:

Q: (c) How many strings of four decimal digits have exactly three digits that are 9? (d) Write down the…

A: We have to find the coefficient.

Q: When a whole number is multiplied by 100, where is there a 0 in the product

A: Given:Whole number is multiplied by 100,Where is there a 0 in the product

Q: (-1)"+'(x + 2)" n2" n=1 8.

A: We have given a power series; The interval will be; So the interval is (-4,0)

Q: (c) Show that for 2" > 4n for n ≥ 5.

A:

Q: What is the ab c³ term of the expansion of (a – b2 + 3c)??

A: According to binomial expansion, the (r+1)th term of the binomial (a+b)n is given by,

Q: that you are using. Σ n=1 n/2+1 •a.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: What is the coefficient of z^4 in the expansion of(z^3+3z+1)^5?

A:

Q: Show that 2^n >=1/8 for n>= -3.

A:

Q: Find the expansion (2+3z+z^2)^5 and write the coefficient of z

A:

Q: What is the coefficient of the term containing x^3y in the expansion of (5x+y)^4?

A:

Q: Find the middle term in the expansion of (x / 2-4) ^ 5 when x = 2

A: Given expression is:  x2-45 Now n = 5 is odd. Therefore here two middle term exist that is: n+12th…

Q: WHAT IS THE COEFFICIENT OF X^7 IN THE EXPANSION OF (X+2)^15 + X^4 (X+3)^19

A:

Q: 7) Express as a product in simplest form: 4y/10x5y³ . 2x/6xy

A: Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: What is the largest coefficient in the expansion of (x +1)8?

A: Answer is mentioned below

Q: N is a 2 digit no with non 0 digits. When n is added to thrice its reverse,the result is 145  If…

A: givenN is a two digit number with non-zero digitlet, 'pq' be the digits in the number N.where 'p' is…

Q: What is the value of the coefficient in front of x?y? in the binomial expansion of (x+y)4?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: find the simple formula for the product (1-1/2)(1-1/3)...(1-1/n)

A: topic - product of series  answer is 1/n

Q: a) Explain why the multiplicativity of (n) follows from the formula p(n) = n* | (1 - 1/p) where the…

A:

Q: Which of the following is the correct expansion of (y + 1)(12y2 + 2y + 6)?

A: The given term is y+112y2+2y+6

Q: What is the value of the coefficient of the 5th term in the expansion of (a+b)6?

A: