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Factorise a sum or difference of cubes and match coefficients

This type of question, asked 2 times: 15 Nov 2020 Tier II, 3 Feb 2022 Tier II. All 2 questions below, oldest first.

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  1. Question 1

    15 Nov 2020 Tier II

    73
    If 27(x+y)3−8(x−y)3=(x+5y)(Ax2+By2+Cxy)27(x + y)^3 - 8(x - y)^3 = (x + 5y)(Ax^2 + By^2 + Cxy), then what is the value of (A + B −- C)?

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  2. Question 2

    3 Feb 2022 Tier II

    63
    If 27x3−64y3=(Ax+By)(Cx2−Dy2+12xy)27x^3 - 64y^3 = (Ax + By)(Cx^2 - Dy^2 + 12xy), then the value of 4A+B+3C+2D4A + B + 3C + 2D is:

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