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# factoring

0
155
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How do i simplify (3x^2-4y)(2x^3+5y)?

Guest Jun 11, 2017
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#1
+82609
+2

(3x^2-4y)(2x^3+5y)

Distribute the first term in the first set of parentheses over the two terms in the second set

3x^2 * 2x^3  +  3x^2 *5y  =      6x^5   +  15x^2y    (1)

Distribute the second term in the first set of parenthesesover the two terms in the second set

-4y*2x^3 - 4y*5y   =    -8yx^3 - 20y^2    (2)

Combine (1) and (2)

6x^5 + 15x^2y - 8x^3y - 20y^2

CPhill  Jun 11, 2017

### 28 Online Users

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The text passage contains a mathematical question about simplifying an algebraic expression and provides a detailed answer to the question.
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
+0

# factoring

0
155
1

How do i simplify (3x^2-4y)(2x^3+5y)?

Guest Jun 11, 2017
Sort:

#1
+82609
+2

(3x^2-4y)(2x^3+5y)

Distribute the first term in the first set of parentheses over the two terms in the second set

3x^2 * 2x^3  +  3x^2 *5y  =      6x^5   +  15x^2y    (1)

Distribute the second term in the first set of parenthesesover the two terms in the second set

-4y*2x^3 - 4y*5y   =    -8yx^3 - 20y^2    (2)

Combine (1) and (2)

6x^5 + 15x^2y - 8x^3y - 20y^2

CPhill  Jun 11, 2017

### 28 Online Users

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user
The text passage contains a mathematical question about simplifying an algebraic expression and provides a detailed answer to the question.

TYPE: SINGLE_QUESTION_WITH_ANSWER