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Question
Expand (5 − x)3
Sum
Solution
(5 − x)3
Comparing (5 – x)3 with (a – b)3 we have a = 5 and b = x
(a – b)3 = a3 – 3a2b + 3ab2 – b3
(5 – x)3 = 53 – 3(5)2(x) + 3(5)(x2) – x3
= 125 – 3(25)(x) + 15x2 – x3
= 125 – 75x + 15x2 – x3
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