Consider the polynomial

MATHEMATICS · Subjective · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

Consider the polynomial P(x,y)=49x4−36y2P(x,y)=49x^4-36y^2. (i) Factorise P(x,y)P(x,y) completely. (ii) Using your factorised form, evaluate P(1,13)P\bigl(1,\tfrac{1}{3}\bigr).

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