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question 10 -factorise:
Answer:Factorise: 8x³+y³+272³-18xyz
8x³+y³+27z³-18xyz = (2x) ³+ y³+ (32) ³-18xyz = (2x) ³+ y³ + (32) ³ - 3(2x)(y)(3z) Using a³ + b³ + c²-3abc = (a + b + c)(a + b²+²-ab-bc-ca) Putting a = 2x, b = y, c=3z = (2x + y + 3z)[(2x)² + y² + (32)2-(2x) (y) - (y)(3z)-(2x)(3z)] = (2x + y + 3z) (4x² + y² +97²-2xy-3yz - 6xz)
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