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Question
Simplify the following:
322 x 322 - 2 x 322 x 22 + 22 x 22
Solution
We have
322 x 322 - 2 x 322 x 22 + 22 x 22
= (322 - 22)2 [∵ `(a - b)2 = a^2 - 2ab = b^2`]
`= (300)^2`
= 90000
∴ 322 x 322 - 2 x 322 x 22 + 22 xx 22 = 90000
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