lpspupperinostv lpspupperinostv
  • 16-02-2018
  • Mathematics
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WILL CHOOSE BRAINLIEST
A cube with side length 5h^2 is stacked on another cube with side length 3k. What is the total volume of the cubes in factored form?

WILL CHOOSE BRAINLIEST A cube with side length 5h2 is stacked on another cube with side length 3k What is the total volume of the cubes in factored form class=

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Blitztiger
Blitztiger Blitztiger
  • 16-02-2018
The volume of the first cube is (5h^2)^3, while the volume of the second cube is (3k)^3, so their total volume is (5h^2)^3 + (3k)^3. We can use the special formula for factoring a sum of two cubes:
x^3 + y^3 = (x + y)(x^2 - xy + y^2)
(5h^2)^3 + (3k)^3 = (5h^2 + 3k)((5h^2)^2 - (5h^2)(3k) + (3k)^2)
= (5h^2 + 3k)(25h^4 - 15(h^2)(k) + 9k^2)
This is the second of the given choices.
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Diianxaloeraa Diianxaloeraa
  • 13-12-2018

Answer:

B

Step-by-step explanation:

Edge

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