# What is the standard form of  y=(x + 2)(x + 2)-x^3+(x-3)^2 ?

May 29, 2018

color(indigo)(y = -x^3 + 2x^2 -2x + 13 is the standard form

#### Explanation:

$y = \left(x + 2\right) \left(x + 2\right) - {x}^{3} + {\left(x - 3\right)}^{2}$

$y = {\left(x + 2\right)}^{2} - {x}^{3} + {\left(x - 3\right)}^{2}$

$y = {x}^{2} + 4 x + 4 - {x}^{3} + {x}^{2} - 6 x + 9$

color(indigo)(y = -x^3 + 2x^2 -2x + 13# is the standard form
The text passage contains a mathematical question asking for the standard form of a given algebraic expression, and it also provides the answer to this question.
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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.

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TYPE: <one of the following values>
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- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
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# What is the standard form of  y=(x + 2)(x + 2)-x^3+(x-3)^2 ?

May 29, 2018

color(indigo)(y = -x^3 + 2x^2 -2x + 13 is the standard form

#### Explanation:

$y = \left(x + 2\right) \left(x + 2\right) - {x}^{3} + {\left(x - 3\right)}^{2}$

$y = {\left(x + 2\right)}^{2} - {x}^{3} + {\left(x - 3\right)}^{2}$

$y = {x}^{2} + 4 x + 4 - {x}^{3} + {x}^{2} - 6 x + 9$

color(indigo)(y = -x^3 + 2x^2 -2x + 13# is the standard form
user
The text passage contains a mathematical question asking for the standard form of a given algebraic expression, and it also provides the answer to this question.

TYPE: SINGLE_QUESTION_WITH_ANSWER