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Question
Write in the expanded form:
`(2 + x - 2y)^2`
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Solution
We have,
(2 + x - 2y)2 = [2 + x + (-2y)]2
= (2)2 + x2 + (-2 y)2 + 2(2)( x) + 2( x)(-2 y) + 2(2)(-2y )
[ ∵ (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca]
`=a^4 + b^4 + c^4 + 2a^2b^2 + 2b^2c^2 + 2a^2c^2`
`∴ (a^2 + b^2 + c^2)^2 = a^4 + b^4 + c^4 + 2a^2b^2 + 2b^2c^2 + 2a^2c^2`
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