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Evgesh-ka [11]
4 years ago
8

How do you factor: x^3 - 8 (x cubed minus 8)

Mathematics
2 answers:
Firlakuza [10]4 years ago
6 0
x^3 - 8 =x^3-2^3 = (x-2) (x^2 + 2x + 2^2)=(x-2) (x^2 + 2x + 4)\\ \\ \\a^3 - b^3 = (a - b) (a^2 + ab + b^2)


gtnhenbr [62]4 years ago
3 0

Answer: (x - 2)(x² + 2x + 4)

Step-by-step explanation: In this problem, we're asked to factor x³ - 8.

Notice that x³ is a perfect cube and 8 is a perfect cube because 8 is 2 × 2 × 2 or 2³. So we have the difference of two cubes.

To factor the difference of two cubes, we use the following formula.

a³ - b³ can be factored as (a - b)(a² + ab + b²) and in this problem, since a³ is represented by x³, the value of a is x and since b³ is represented by 8, the value of b is 2.

So substituting x and 2 into the formula for <em>a</em> and <em>b</em>, we have

[(x) - (2)][(x)² + (x)(2) + (2)²] and notice that we changed the parentheses in the formula to brackets so that we're not dealing with too many sets of parentheses.

Next, simplifying inside the second set of brackets and changing the brackets back to parentheses, we have (x - 2)(x² + 2x + 4) which is our final answer.

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Answer:

x = -12

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7 0
4 years ago
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4 0
4 years ago
3. At a poster shop, Han paid $16.80 for 2 large posters and 3 small posters of his
Sunny_sXe [5.5K]

Answer:

small posters cost $2.30 each

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Step-by-step explanation:

Let

price of large poster be "l", and

price of small poster be "s"

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2l + 3s = 16.80

Then,

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Now we substitute this expression for "l" into first equation and solve for s first:

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Now, we know l = 14.15 - 4s, so

l = 14.15 -4(2.30)

l = 4.95

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7 0
4 years ago
A quadrilateral is inscribed in a circle. Which statements are correct? Select all that apply.
andre [41]
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5 0
3 years ago
Read 2 more answers
[02.06]
Tresset [83]
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6 0
4 years ago
Read 2 more answers
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