Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work.(x + 2)6(x − 4)4(2x + 3)5(2x − 3y)4In the expansion of (3a + 4b)8, which of the following are possible variable terms? Explain your reasoning.a2b3; a5b3; ab8; b8; a4b4; a8; ab7; a6b5

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Answered: Expand the following using the Binomial…

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.5: The Binomial Theorem

Problem 3ECP

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Question

Expand the following using the Binomial Theorem and Pascal’s triangle. Show your work.

(x + 2)⁶
(x − 4)⁴
(2x + 3)⁵
(2x − 3y)⁴
In the expansion of (3a + 4b)⁸, which of the following are possible variable terms? Explain your reasoning.
a²b³; a⁵b³; ab⁸; b⁸; a⁴b⁴; a⁸; ab⁷; a⁶b⁵

Polygon with three sides, three angles, and three vertices. Based on the properties of each side, the types of triangles are scalene (triangle with three three different lengths and three different angles), isosceles (angle with two equal sides and two equal angles), and equilateral (three equal sides and three angles of 60°). The types of angles are acute (less than 90°); obtuse (greater than 90°); and right (90°).

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