IP1U4 SWII (Further App. of Alg. Id.) Q22

IP1U4 SWII (Further App. of Alg. Id.) Q22

IP 1

Desmond is working on the question to evaluate \(2(x+y)(x-y) + [(x+y)^2 - xy] + [(x-y)^2 + xy]\), where \(x=2026\), \(y=2027\). He miscopied \(y=2027\) as \(y=2072\), however, his answer is still correct. Explain with working, the reason why.

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Answer:\(4x^2=16\,418\,704\), independent of \(y\)

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