Question

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

Answer 1

To find: Expansion of (3x + 2y)⁵

Formula used: (i)

ⁿC_r = \(\frac{n!}{(n-r)(r)!}\) 

⇒ [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