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Expand the following: (2a3 + 5b2)2 - Mathematics

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Question

Expand the following:

(2a3 + 5b2)2

Sum
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Solution

(2a3 + 5b2)2

Here, a = 2a3, b = 5b2

Thus,

(2a3 + 5b2)2 = (2a3)2 + 2(2a3)(5b2) + (5b2)   ...[Using (a ± b)2 = a2 ± 2ab + b2]

4a6 + 2(10a3b2) + 25b4

∴ 4a6 + 20a3b2 + 25b4

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Chapter 3: Expansions - EXERCISE A [Page 32]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 3 Expansions
EXERCISE A | Q 1. (v) | Page 32
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