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: (a+b)" n! an-(k-1)b(k-1) [n-(k-1)]! [k-1]! Question 3. Find the 6th term of (x+3)4

Q: Multiply the following binomials using the method indicated. (Simplify your answers completely.) (y…

A: Topic -multiplication of binomials  hy different methods

Q: The_______ ______ can be used to expand expressions like (2x + 3)6 .

A: The_______ ______ can be used to expand expressions like (2x + 3)6 .

Q: Multiply the following binomials. (c- 3)(c + 4) (c- 3)(c+ 4) = (Simplify your answer.)

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Q: Consider the expansion of x² 10 3

A: Suppose we have binomial expression . Then its expression is as ;                       The general…

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

A: Answer

Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

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

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Q: Pam is a Disc Jockey. Every week she buys 3 new albums to keep her collection current. She currently…

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Q: Find the tenth term in the expansion (x+3) 2? Select one:

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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: What is the expansion of the binomial expression (x + y)⁵ ? What are the binomial coefficients?

A: Solution of given question is written in below steps.

Q: 3[2+4(5+2*3)]

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Q: Simplify. (5n + 4n² – 7) – (8n – 6+ 7n)

A: subtract the polynomials

Q: The fourth term in the expansion (2r + y)' is

A: The equation for the combinations n taken r at a time is equal to Crn=n!n-r!r!.  The continued…