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Sindrei [870]
3 years ago
7

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

Mathematics
2 answers:
kirill115 [55]3 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]3 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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AleksandrR [38]

Answer:

<h2>∠Q corresponds with ∠Z</h2>

Step-by-step explanation:

  1. form a graph
  2. draw  Δ ZNM and ΔPQR on either side of the y- axis
  3. You reflect ΔZMN across the y- axis
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5 0
3 years ago
1/4 of a number decreased by three is at least two
posledela

Answer:

¹/₄x - 3 ≥ 2

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Step-by-step explanation:

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3 years ago
Round 685,135 to the nearest ten thousand.
garik1379 [7]

Answer:

690,000

Step-by-step explanation:

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grandymaker [24]

Answer:

The Answer is is option B.

6 0
2 years ago
The perimeter of the triangle at the right is 22.6 in. What is the value of n?
blagie [28]

Answer:

A. 3.5

Step-by-step explanation:

The perimeter is just the sum of all of the side lengths. The sides of this triangle are n inches, (n + 5.2) inches, and (2n + 3.4) inches.

So, your equation is n + n + 5.2 + 2n + 3.4 = 22.6 inches.

You can combine like terms (adding together all of the n's and all of the numbers) to simplify your equation to 4n + 8.6 = 22.6 inches.

Subtract 8.6 from both sides of the equation to get 4n = 14, and divide both sides by 4 to get n = 3.5.

Hope this helps! :)

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2 years ago
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