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sveta [45]
3 years ago
5

Fully factorise: x³+3x²-6x-8​

Mathematics
2 answers:
garri49 [273]3 years ago
4 0
I’m not sure if this is correct

Mnenie [13.5K]3 years ago
3 0

Answer:

(x-2) (x+1) (x+4)

Step-by-step explanation:

x^3+3x^2-6x-8

Rearranging the terms,

(x^3 - 8) + (3x^2 - 6x)

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

(x^3 - 8) = (x^3 - 2^3) = (x-2) (x^2 + 2x + 4)

(3x^2 - 6x) = 3x(x-2)

So, x^3 + 3x^2 -6x -8

= (x-2) (x^2 + 2x +4) + 3x(x-2)

(x-2) is the common factor,

= (x-2) ( x^2 +2x+4 + 3x)

= (x-2) (x^2 + 5x + 4)

= (x-2) (x^2 + 4x + x + 4)

= (x-2) (x(x+4) +1(x+4))

= (x-2) (x+1) (x+4)

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A bicycle tire has a radius of 11 inches. To the nearest inch, how far does the tire travel when it makes 7 revolutions?
jok3333 [9.3K]

Answer:

d = 483.56 inches

Step-by-step explanation:

We have,

Radius of a bicycle tire is 11 inches. It is required to find the distance traveled by the distance covered by the tire when it makes 7 revolutions. One revolution means the circumference of circle. So,

C=2\pi r\\\\C=2\times 3.14\times 11\\\\C=69.08\ \text{inches}

In 7 revolution, it will cover a distance of 7C i.e.

C=69.08\times 7\\\\C=483.56\ \text{inches}

So, the tire will cover a distance of 483.56 inches in 7 revolutions

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larisa [96]

Answer:

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Step-by-step explanation:

6 0
4 years ago
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Answer:

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Step-by-step explanation:

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