Question

b) Factorise 8x3-36x2y +54 xy2-27 y3.​

Answer 1

$8x {}^{3} - 36 {x}^{2} y + 54x {y}^{2} - 27 {y}^{3} \\ = (2x) {}^{3} - 3 {(2x)}^{2} (3y) + 3(2x)(3 {y)}^{2} - 3 {y}^{3} \\ = {(2x - 3y)}^{3}$

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