If a = 5, b = -2 and c = -3, a3 + b3 + c3 is equal to :
-90
90
60
-60
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By property,
If a + b + c = 0, then
a3 + b3 + c3 = 3abc
Since, 5 + (-2) + (-3) = 5 - 2 - 3 = 0.
∴ a3 + b3 + c3 = 3 × 5 × -2 × -3 = 90.
Hence, Option 2 is the correct option.
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The difference between two positive numbers is 5 and the sum of their squares is 73. Find the product of these numbers.
If x + 3y + 2z = 0, the value of x3 + 27y3 + 8z3 is :
9xyz
6xyz
18xyz
xyz