SOLUTION: Each dege of one cube is 2 cm longer than each edge of another cube. The volumes of the cubes differ by 98 cm^3. Find the lenghts of the edges of each cube.

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Question 198227: Each dege of one cube is 2 cm longer than each edge of another cube. The volumes of the cubes differ by 98 cm^3. Find the lenghts of the edges of each cube.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
(e+2)^3 = e^3 + 98

expanding ___ e^3 + 6e^2 + 12e + 8 = e^3 + 98

subtracting e^3 + 98 and dividing by 6 ___ e^2 + 2e - 15 = 0

factoring ___ (e + 5)(e - 3) = 0

-5 is not realistic, so e = 3

e + 2 = 5