Question

If 3x -2y=11 and xy =12 find the value of 27x^3 -8y^3

Answer 1

Answer:

1727

Step-by-step explanation:

Here we will use the identity: (a - b)^3 = a^3 - b^3 - 3ab(a - b)

a = 3x, b = 2y

(3x - 2y)^3 = (3x)^3 - (2y)^3 - 3(3x)(2y)(3x - 2y)

(11)^3 = 27x^3 - 8y^3 - 36(11)

1331 = 27x^3 - 8y^3 - 396

27x^3 - 8y^3 = 1331 + 396

                     = 1727

Answer 2

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