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Question
Expand.
(52)3
Sum
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Solution
(52)3
(a + b)3 = a3 + 3a2b + 3ab2 + b3
= `(50 + 2)^3` = `(50)^3 + 3 xx (50)^2 xx (2) + 3 xx (50)(2)^2 + (2)^3`
= 125000 + 3 × 2500 × 2 + 150 × 4 + 8
= 125000 + 7500 × 2 + 600 + 8
= 125000 + 15000 + 600 + 8
= 140608
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Expand: `((2m)/n + n/(2m))^3`.
