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cluponka [151]
2 years ago
9

What is 64x^6 + 27 written as a sum of cubes?

Mathematics
1 answer:
Talja [164]2 years ago
7 0

Answer:

(4x² + 3)(16x^{4} - 12x² + 9)

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

64x^{6} = (4x²)³ ⇒ a = 4x²

27 = 3³ ⇒ b = 3

Hence

64x^{6} + 27

(4x² + 3)((4x²)² - (4x² × 3) + 3²)

= (4x² + 3)(16x^{4} - 12x² + 9)

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Answer:

23 cards.

Step-by-step explanation:

After Monday, Esteban has 12 cards.

After Tuesday, Esteban has 12 + 24 = 36 cards.

He gave to his sister x cards.

36 - x = 13

36 = 13 + x

23 = x

5 0
3 years ago
Help please. i am confused
liraira [26]

Answer:

G(x+2) = 7x^2 + 33x + 30

Step-by-step explanation:

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G(x+2) = 7(x+2)^2 + 5(x+2) -8 , which is 7x^2 +33x +30 after SIMP - lifying (see what I did there ;)

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4 0
3 years ago
>> The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the
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Answer:

d = 3

Step-by-step explanation:

According the figure:

  • 10 + d + d + d = 19
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Answer Check Below:

⇒ 10 + 3 = 13

⇒ 13 + 3 = 16

⇒ 16 + 3 = 19

<h2>Therefore, d = 3.</h2>
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The answer is c . 24ib for $18.72
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