Course Name: Calculus and Analytical Geometry-1 Course code: MAT-132 Solution must be handwritten with step by step clear explanation Binomial Expansion: Using this formula: n! (a+b)" a"-(k-1)b(k-1) [n-(k-1)]! [k-1]! Question 10. Find the 13th term of (3c - 2d)³

Q: 10 3 Consider the expansion of

A: Given that The aim is to find the coefficient of in So, to find r for the general term,

Q: Write out all the terms in the binomial expansion of (x+y)^8. Do this first with the (n/r) notation,…

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Q: 1. (2Y²-6) (2Y+9)

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Q: you add the expor 2013 +3 f

A: Given data : If you add the exponents of the expansion (1000a - 2000b)14 what is the sum?

Q: A biologist is measuring growth of a rabbit population in a forest. She expects the number of…

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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: B. Directions: Expand t Scoring Rubric: 3- The final ansv 2- The final ansv 1- The final ansv 0- No…

A: = (12q+4r)12  Binomial Expression:(a+b)n =∑n=0nni a(n-i) bi(12q+4r)12:  a=12q,…

Q: Expand with binomial formula (a-x)5

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Q: EXAMPLE 2 Multiplying Binomials Using FOIL (2x + 1)(3x - 5) = 6x? – 10x + 3x – 5 Distributive…

A: There is also a special method, useful only for a…

Q: (2x³ 3y) Drag an expression or value into each box to correctly complete the statements. How can you…

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Q: 2.xxX-Y) (xX+1)

A: This is the problem of multiplying binomial. It has been done step by step. See the attached image

Q: pand the binomial expression (4x-y) using either Pascal's triangle or the Binom ess ALT+F10 (POC) or…

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Q: State the Special Product Formulas used for expanding the given expression. (i) (a + b)? (iv) (a –…

A: Calculation: Special product formula: (i) a+b2=a2+b2+2ab (ii) a-b2=a2+b2-2ab (iii) a+b3=a3+b3+3aba+b…

Q: A. Expand the following by using the binomial formula. Simplify your answer. (xi-) (apply the laws…

A: We know the binomial formula,  (A+B)n = nC0×An+nC1×An×B+...+nCn-1×A×Bn-1+nCn×Bn    Here we have,  A…

Q: (x^5+3)^14 write the sum of te first three term o fthe binomial expansion, expressing the result in…

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Q: Write the expansion of the expression.     #1) (x + 2)^4   # 2 ) (y -2) ^4    #3 )  (2X - Y)^5…

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Q: >(6k – 4)(7k + 3) - k=1 Enter your answer as a number without any arithmetic symbols. Sum =

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Q: • 3. 3 (x- 2)+ 4 ( x – 2 ) – 5 ( x – 2)

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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: Translate a of n=1/8(n-1) to a recursive formula

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Q: What is the coefficient of x9 in the expansion of (x+1)14 + x3(x+2)15 ?

A: By Binomial theorem (a+x)n=∑m=0nncman-mxm Here (x+1)14=∑m=01414cmx14-m1mNow the coefficient of…

Q: Find the 2nd term in the expansion of (3x + y) in simplest form.

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