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Addition of Polynomials

27x-13+y3

Question

27(x $-$ 1)³ + y³

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Solution

$27 {(x - 1)}^{3} + y^{3} = {[3 (x - 1)]}^{3} + y^{3} = [3 (x - 1) + y] [{\{3 (x - 1)\}}^{2} - 3 (x - 1) \times y + y^{2}] = (3 x + y - 3) [{(3 x - 3)}^{2} - 3 x y + 3 y + y^{2}] = (3 x + y - 3) [9 x^{2} - 18 x + 9 - 3 x y + 3 y + y^{2}]$

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Similar questions

27 (x - 1)^{3} + y^{3}

Factorise:
$8 (x + y)^{3} - 27 (x - y)^{3}$

y^{3} - 9 x^{2} + 27 x - 27 = 0 z^{3} - 9 y^{2} + 27 y - 27 = 0 x^{3} - 9 z^{2} + 27 z - 27 = 0

y^{3} = 27 x

y^{3} = 27 x

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