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Sindrei [870]
2 years ago
7

Factor completely, then place the answer in the proper location on the grid. a3 - b3

Mathematics
2 answers:
kirill115 [55]2 years ago
7 0
\bf \textit{difference of cubes}
\\\\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 
\\\\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3\\\\
-------------------------------\\\\
a^3-b^3\implies (a-b)(a^2+ab+b^2)
Effectus [21]2 years ago
7 0

Answer:

We have to find the difference of cubes of any two real numbers

a^3-b^3=(a-b)(a^2+ab+b^2)

Verification of the Result

RHS

  =(a-b)(a^2+ab+b^2)\\\\=a \times (a^2+ab+b^2)-b \times (a^2+ab+b^2)\\\\\text{Using Distributive property }\\\\=a^3+a^2b+ab^2-ba^2-ab^2-b^3\\\\ \text{Cancelling like terms}\\\\=a^3-b^3

=LHS

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Answer:

= 56/ 15  and 3 11/15

Step-by-step explanation:

1 3/5 x 2 1/3

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2 years ago
Paul has 6 teaspoons of salt. The ratio of teaspoons to tablespoons is 3:1. How many tablespoons of salt does Paul have?
dalvyx [7]

Answer:

2 tablespoons of salt

Step-by-step explanation:

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(sorry if this is confusing but I hope it helped)

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iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have -2x^3 + 5x^2 + 9

m = slope = derivative

Find the derivative / slope of -2x^3 + 5x^2 + 9

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

\frac{d}{dx}(-2x^3 + 5x^2 + 9)

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<em>Now that we have this information, we can answer question b</em>

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<u>The tangent line for Point (1, 12)</u>

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<u>Now lets do the same for the Point (2, 13)</u>

Find the slope at the point.

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y(x) - 13 = -4(x - 2)

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Now graph the lines, which I have done and you can see by viewing the image I have attached.


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3 years ago
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Answer:

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Step-by-step explanation:

See the image that I have added to you above to get the whole working.

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2 years ago
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