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2 years ago

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

Mathematics

1 answer:

Talja [164]2 years ago

7 0

Answer:

(4x² + 3)(16 $x^{4}$ - 12x² + 9)

Step-by-step explanation:

A sum of cubes factors as

a³ + b³ = (a + b)(a² - ab + b²)

64 $x^{6}$ = (4x²)³ ⇒ a = 4x²

27 = 3³ ⇒ b = 3

Hence

64 $x^{6}$ + 27

(4x² + 3)((4x²)² - (4x² × 3) + 3²)

= (4x² + 3)(16 $x^{4}$ - 12x² + 9)

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Step-by-step explanation:

Find the volume with: base x length x height

37.6 x 20 = 752

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3 years ago

An angle measures 38° more than the measure of its complementary angle. What is the measure of each angle?

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Steps:
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2 years ago

Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math

alex41 [277]

Answer: $\frac{8}{3}\times \sqrt{\frac{2}{5}}$

Step-by-step explanation:

Given two upward facing parabolas with equations

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area enclosed by them is given by

A= $\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx$

A= $\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx$

A= $4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]$

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3 years ago

Whats is a unit rate

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3 years ago

Read 2 more answers