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Expand the following: (2ab + 3cd)2 - Mathematics

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Question

Expand the following:

(2ab + 3cd)2

Sum
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Solution

(2ab + 3cd)2

Here, a = 2ab, b = 3cd

Thus,

(2ab + 3cd)2 = (2ab)2 + 2(2ab)(3cd) + (3cd)  ...[Using (a ± b)2 = a2 ± 2ab + b2]

4a2b2 + 2(6abcd) + 9c2d2

∴ 4a2b2 + 12abcd + 9c2d2

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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. (iv) | Page 32
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