AnswersPARTA - EVP PGCPS ALGEBRA 2 OC FALL2026 - 793033Multiplying and Dividing Rational Expressions

Lesson 5.2: Multiplying and Dividing Rational Expressions Answers

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Using V = lwh , find an expression in factored form for the volume of this prism. Explain the general steps you used to arrive at this answer.

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Answer:

The volume is V = (x)(6x)(2x - 5) = 6x^2(2x - 5). I substituted the dimensions into V = lwh, wrote 2x - 5 over 1, factored the numerators and denominators, and divided out common factors to simplify.

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Select all of the following that you included in your answer.

A
Write 2x – 5 over 1.
B
Factor numerators and denominators, when possible
C
Divide out common factors to simplify.
D
Determine that the volume is (x)(6x)(2x – 5).

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