Triple box method and Identity.

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Short flashcards about basic triple box method, algebraic proof and identity

Last updated 11:36 AM on 9/14/26
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11 Terms

1
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An identity is an equation that is ____ for ___ values of variables in the equation. Basically you are proving the left side is equal to the right side.

true,ALL,

2
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If both sides match you would say…

There is an identity

3
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If both sides do not match you would say…

There is no identity

4
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What is algebraic proof?

The steps or arguments behind an algebraic solution. Basically your work.

5
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How would you use the box method on a polynomial with 5 or more terms?

By adding an extra row or column as seen here:

<p>By adding an extra row or column as seen here:</p>
6
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Verify if this is correct:

(3x+2)(3x-2)=9×2-4

true

9×2-4=9×2-4

<p>true</p><p>9×<sup>2</sup>-4=9×<sup>2</sup>-4</p>
7
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Rewrite the following in standard form:

(x+y)3

x33yx2+3xy2+y3

<p>x<sup>3</sup>3yx<sup>2</sup>+3xy<sup>2</sup>+y<sup>3</sup></p>
8
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Remember: Variables always have a _____ ___ next to them

Invisible 1 or number

9
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When adding/combining like terms using the box method (not multiplying) you do not ______

do not add exponents or variables

10
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Confirm if the following is true:

(a+b)(a2-ab+b2)=a3+b3

There is an identity

a3+b3=a3+b3

<p>There is an identity</p><p>a<sup>3</sup>+b<sup>3</sup>=a<sup>3</sup>+b<sup>3</sup></p>
11
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Rewrite the following in standard form:

(x+4)(x2+3x+2)

x3+7×2+14+8

<p>x<sup>3</sup>+7×<sup>2</sup>+14+8</p>