Question
Simplify the following expression.
(8.25)3 - 3× (8.25)2 × 0.25 +24.75 × (0.25) ² - (0.25)3 / (4×4×4)Solution
(8.25)3 - 3× (8.25)2 × 0.25 +24.75 × (0.25) ² - (0.25)3 / (4×4×4) Let a = 8.25 and b =0.25 Then- (a3 – 3a2b+3ab2 – b3) / 4×4×4 … (1) As we know that (a-b)3 = (a3 – 3a2b+3ab2 – b3) so put in EQ (1) =(a-b)3 /64. = (8.25 -0.25)3 /64. =512/64 =8.
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