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Find the volume of a cubical aquarium of edge 78 cm.
343000
131040
474552
512
78 = 70 + 8
(70 + 8)3
= 703 + 83 + 3 × 70 × 8 (70 + 8) … using (x + y)3 = x3 + y3 + 3×y(x + y)
= 343000 + 512 + 131040
= 474552
(x + y) (x2 - xy + y2) = ?
x3 + y3
x3 − y3
Both A and B
None of these
x3 + y3 = (x + y) (x2 - xy + y2)
Find (49)3 + (−13)3 + (−36)3.
11764
46656
2197
68796
If x + y + z = 0, then x3 + y3 + z3 = 3xyz
Here, 49 + (−13) + (−36) = 0, then
(49)3 + (−13)3 + (−36)3 = 3 × 49 × −13 × −36 = 68796
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