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horrorfan [7]
3 years ago
5

What is the factored form of 8x24-27y6

Mathematics
2 answers:
rodikova [14]3 years ago
8 0

Answer:

(2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)

Step-by-step explanation:

Mariulka [41]3 years ago
7 0

For this case we must factor the following expression:

8x^{24} -27y ^ 6

So:

We rewrite 8x^{24}\ as\ (2x ^ 8) ^ 3

We rewrite27y ^ 6\ as\ (3y ^ 2) ^ 3

(2x ^ 8) ^ 3- (3y ^ 2) ^ 3

Since both terms are perfect cubes, factor using the cube difference formula:

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

Where:

a = 2x ^ 8\\b = 3y ^ 2

Rewriting:

(2x ^ 8-3y ^ 2) ((2x ^ 8) ^ 2 + (2x ^ 8) (3y ^ 2) + (3y ^ 2) ^ 2) =\\(2x ^ 8-3y ^ 2) (4x ^{16} + 6x ^ 8y ^ 2 + 9y ^ 4)

ANswer:

Option C

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Fraction that less than 5/6 and has a denominator of 8
AnnyKZ [126]
A fraction that is less than 5/6 and has a denominator of 8 would be 4/8 because if you compare 4/8 and 5/6 4/8 is less than 5/6. (to compare this two fractions you need to make them have the same denominator so they would end up been 4/8=12/24
5/6=20/24
And 12/24 is smaller than 20/24
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3 years ago
Use diagrams or the description of equivalent ratios to show thay 2:3,4:6, and 8:12 are equivalent
VikaD [51]
So
lets say we have
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2/3 and 4/6 are equivelent because if you divide them we get 12/12=1

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and sinde 2/3=4/6 and 2/3=8/12, 2/3=4/6=8/12

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3 years ago
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D

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Sarah

reason

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In a survey, 205 people indicated they prefer cats, 160 indicated they prefer dots, and 40 indicated they don’t enjoy either pet
maw [93]

Answer: probability =  0.506

Step-by-step explanation:

The data we have is:

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prefer dogs: 160

neither: 40

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