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Expand the following. 1. (3a^2 - 2b)^4 2.(3 - 4x^2^)5

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in Binomial Theorem by (15.9k points)

Expand the following.

1. (3a2 - 2b)4

2.(3 - 4x2)5

3. \(\big(\frac{x}{2} - 2y\big)^6\)

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1 Answer

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1. (3a2 - 2b)4 = 4C0(3a2)4 - 4C1(3a2)3 (2b) + 4C2(3a2)2 (2b)2 - 4C3 (3a2)(2b)3 + 4C4(2b)4

= 8Ia8 - 4x 27 a6(2b) + 6 x 9a44b2 - 4 x 3a2 x 8b3 + 16b4

= 81a8 - 216 a6b + 216a4b2 - 96a2b3 + 16b4

2.  (3 - 4x2)5 = 5C0(3)5 - 5C1(3)4(4x2) + 5C2(3)3 (4x2)2 - 5C3(3)2 (4x2)3 + 5C4(3)(4x2)4 - 5C5(4x2)5

= 243 - 1620x2 + 4320x4- 5760x6 + 3840x8 - 1024x10

3. 

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