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blondinia [14]
4 years ago
6

translate phrases into algebraic expressions, the difference between the cube of a number and the square of the number

Mathematics
1 answer:
Korolek [52]4 years ago
3 0

Answer:

x^3-x^2.

Step-by-step explanation:

The word "difference" represents a subtraction. Then the algebraic expression will be of the form a-b.

Now, the difference is between the cube of a number and the square of the number, then let's call the number x. The square of the number is raise to two. Then the square of the number is x^2.

The cube of the number is raise to three. Then the cube of the number is x^3.

So, the difference between the cube of a number and the square of the number (we are talking about the same number in the square and the cube) is x^3-x^2.

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What is 16 divided by X^2 equals 8 divided by X + 6?
zaharov [31]
Solve: \frac{16}{x^{2}} = \frac{8}{x + 6}

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\text{Expand: } 2x + 12 = x^{2}

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3 years ago
Write a polynomial function of least degree with the given zero. -1+ √ 2, √ 3
kirill115 [55]

Answer:

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Step-by-step explanation:

Note that radical zeros occur in conjugate pairs, thus

- 1 + \sqrt{2} is a zero then - 1 - \sqrt{2} is also a zero

\sqrt{3} is a zero then - \sqrt{3} is also a zero

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(x + 1 - \sqrt{2}), (x + 1 + \sqrt{2}), (x - \sqrt{3}), (x + \sqrt{3})

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     = (x² + 2x + 1 - 2)(x² - 3)

     = (x² + 2x - 1)(x² - 3) ← distribute

     = x^{4} - 3x² + 2x³ - 6x - x² + 3

     = x^{4} + 2x³ - 4x² - 6x + 3

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Step-by-step explanation:

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