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Vesnalui [34]
3 years ago
5

10 points ??????????????

Mathematics
1 answer:
drek231 [11]3 years ago
7 0

Answer:

I would think it would be D if im correct

Step-by-step explanation:

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Which are sums of perfect cubes? Check all that apply. 8x6 + 27 x9 + 1 81x3 + 16x6 x6 + x3 27x9 + x12 9x3 + 27x9
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<u>Answer</u>:

Sums of perfect cubes are

  • 8x^6 + 27x^9 + 1
  • x^6 + x^3
  • 27x^9 + x^{12}

<u>Step-by-step explanation:</u>

Option (1) 8x^6 + 27x^9 + 1

This can be written as

2^3 (x^2)^3 + 3^3(x^3)^3 +1^3

All the terms in the expression are can be represented as perfect cubes

Option (2) 81x^3 + 16x^6

This can be written as

9^2 x^3 + 4^2 (x^2)^3

In this , all the terms are not perfect cubes , some of them are squares

Option (3) x^6 + x^3

This can be written as

(x^2)^3 + x^3

All the terms in the expression are  perfect cubes

Option (4) 27x^9 + x^{12}

This can be written as

3^3(x^3)^3 + (x^{4})^3

All the terms in the expression are  perfect cubes

Option (5) 9x^3 + 27x^9

This can be written as

3^2x^3 + 3^3(x^3)^3

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