1. Use the Binomial Theorem to expand the following expressions. (a) (a-2b)³ (b) (x+3)4

Q: In the expansion of (x+y)35

A: We use the Binomial Theorem to find the required coefficient in the given question.

Q: What is the coefficient of z5y¹2 in the expansion of (1x + 2y)¹7?

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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: Find the coefficient of x8y6 in the expansion of (2x2-5y3)6 by using the Binomial theorem.

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Q: Find the term indicated in the expansion (x + 2y)6; third term.

A: Find the term indicated in the expansion (x + 2y)6; third term.

Q: Use the Binomial Theorem to expand the binomial (x2 + 2y)4 and express the result in simplified…

A: the given expression is: x2+2y4

Q: V. (a) Find the product of: 1. (x+2)(x + 2) 2. (2x – 1)(2x - 1) (b) Make a general rule about…

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

Q: Find the coefficient of the term xy in the expansion of (2x3-y)5.

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Q: ne binomial:

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Q: ) Find the coefficient of xy in the expansion of (x + y²)°. ) Find the coefficient of x5y® in the…

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Q: Use the Binomial Theorem to expand and simplify the expression 2(x- 3)4 + 5(x - 3)² Select one: O a.…

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Q: Jse the Binomia expression (3x + 2y²)°. Show your work. Theorem to expand the

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Q: 8) Expand the following binomial expression: (x² - 3)4.

A: o expand the binomial expression (x² - 3)^4, we can use the binomial theorem which states that: (a +…

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

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Q: Consider the binomial theorem to expand (2x + 2y). What is the coefficient of the x²y² term? You…

A: To expand: 2x+2y4 using binomial theorem.   Also find the coefficient of the x2y2 term.

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: Expand the expression using the Binomial Theorem: (4x − 3)5 = x ++ 5 x+ 3 x³+ x²+ x+

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