Q2 of 26 Page 8

Expand (2x + 3y)5

Given: (2x + 3y)5


We know that,


(x + a)n = nC0 .(x)n(a)0 + nC1 .(x)n - 1(a)1 + nC2 .(x)n - 2(a)2 + … + nCn .(x)0(a)n .


Similarly,


(2x + 3y)5 = 5C0 .(2x)5(3y)0 + 5C1 .(2x)4(3y)1 + 5C2 .(2x)3(3y)2 + 5C3 .(2x)2(3y)3 + 5C4 .(2x)1(3y)4 + 5C5 .(2x)0(3y)5 .



=


Hence, 32x5 + 240 x4 y + 720 x3 y2 + 1080 x2 y3 + 810 x y4 + 243 y5


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