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Using binomial theorem, expand each of the following: (3x + 2y)^5

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Using binomial theorem, expand each of the following: (3x + 2y)5

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To find: Expansion of (3x + 2y)5

Formula used: (i)

nCr = \(\frac{n!}{(n-r)(r)!}\) 

⇒ [1(243x5)] + [5(81x4)(2y)] + [10(27x3)(4y2)] + [10(9x2)(8y3)] + [5(3x)(16y4)] + [1(32y5)] 

⇒ 243x5 + 810x4y + 1080x3y2 + 720x2y3 + 240xy4 + 32y5 

243x5 + 810x4y + 1080x3y2 + 720x2y3 + 240xy4 + 32y5

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