Question

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

Answer 1

To find: Expansion of (2x – 3)⁶ 

Formula used: (i)

ⁿC_r = \(\frac{n!}{(n-r)(r)!}\) 

⇒ [(1) (64x⁶)] – [(6)(32x⁵)(3)] + [15(16x⁴)(9)] – [20(8x³)(27)] + [15(4x²)(81)] – [(6)(2x)(243)] + [(1)(729)] 

⇒ 64x⁶ – 576x⁵ + 2160x⁴ – 4320x³ + 4860x² – 2916x + 729

64x⁶ – 576x⁵ + 2160x⁴ – 4320x³ + 4860x² – 2916x + 729