Expanding Binomial Expressions 🥶 PART 1

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Award shows are CURSED this year😭 (VMAs 2022)

Q) Check whether :Z×Z→Z×Z (where Z is the set of integers) defined as f(𝑥,y)=(2y,3𝑥) is injective

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Q) Consider the quadratic equation (n^2−2n+2) x^2−3x+(n^2−2n+2)^2=0, n∈R. Let 𝛼 be the minimum