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Question
Expand the following:
(3x3 − 8y2)2
Sum
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Solution
(3x3 − 8y2)2
Using the identity:
(a − b)2 = a2 − 2ab + b2
Here, let a = 3x3, b = 8y2
(3x3 − 8y2)2 = (3x3)2 − 2(3x3) (8y2) + (8y2)2
= 9x6 − 2(24x3y2) + 64y4
∴ (3x3 − 8y2)2 = 9x6 − 48x3y2 + 64y4
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Chapter 3: Expansions - MISCELLANEOUS EXERCISE [Page 39]
