Inactive Tutor answered • 05/18/20
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The coefficients of (a + b)5 have the form 5Cr = 5! / [(r!)(5-r)!] and r ranges from 0 to 5.
(2x - y2)5 = 5C0(2x)5(-y2)0 + 5C1(2x)4(-y2)1 + 5C2(2x)3(-y2)2 + 5C3(2x)2(-y2)3 + 5C4(2x)1(-y2)4 + 5C5(2x)0(-y2)5
32x5 - 80x4y2 + 80x3y4 - 40x2y6 + 10xy8 - y10
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