#160;2x3 #160;+ #160;54= #160;2x3 #160;+ #160;27= #160;2x3 #160;+ #160;33= #160;2x+3x2 #160; #160;x #215;3+ #160;32=2x+3x2 #160; ...

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Polynomials

Factorise: 2 ...

Question

Factorise: (2x³ + 54).

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Solution

$2 x^{3} + 54 = 2 (x^{3} + 27) = 2 (x^{3} + 3^{3}) = 2 (x + 3) (x^{2} - x \times 3 + 3^{2}) = 2 (x + 3) (x^{2} - 3 x + 9)$

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