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DIA [1.3K]
3 years ago
5

How could the sum of cubes formula be use to factor x^3y^3+34

Mathematics
1 answer:
professor190 [17]3 years ago
4 0
Sum of cubes:  a^3 + b^3 = (a+b)(a^2 - ab + b^2)

Sum of cubes:  x^3*y^3 + 34, or     (xy)^3 +  (∛34)^3

This factors into    (xy + ∛34)*( [xy]^2 - xy∛34 + (∛34)^2 )
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Answer:

A ≈ 494.80 mm^{2}

V = 827.02 mm^{3}

Step-by-step explanation:

height ( <em>h </em>) = 13 mm

radius ( <em>r </em>)  = \frac{9mm}{2} = 4.5 mm

Surface area  = 2\pi rh + 2\pi r

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                      ≈ 494.80 mm^{2}

Volume = \pi r^{2} h

<em>              </em>= \pi (4.5)^{2} (13)

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Step-by-step explanation:

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