Question

FACTORISE 8a CUBE+27b cube - c cube +18abc

Answer 1

$\huge \bold Question$

Factorize

${8a}^{3} + {27b}^{3} - {c}^{3} + 18abc$

$\huge \bold Solution:$

$= {(2a)}^{3} + {(3b)}^{3} + {( - c)}^{3} - (3 \times 2 \times 3abc)$

$=( 2a + 3b - c)( 4 {a}^{2} + {9b}^{2} + {c}^{2} - 6ab + 3bc + 2ac)$

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