2a³+54b³
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SOLUTION
TO FACTORISE
2a³ - 54b³
FORMULA TO BE IMPLEMENTED
\sf{ {a}^{3} - {b}^{3} = (a - b) ({a}^{2} + a b + {b}^{2} )}a3−b3=(a−b)(a2+ab+b2)
EVALUATION
\sf{2 {a}^{3} - 54 {b}^{3} }2a3−54b3
\sf{ = 2( {a}^{3} - 27 {b}^{3}) }=2(a3−27b3)
\sf{ = 2 \bigg[ {(a)}^{3} - {(3b)}^{3} \bigg]}=2[(a)3−(3b)3]
\sf{ = 2(a - 3b) \bigg[ {(a)}^{2} + a \times 3b + {(3b)}^{2} \bigg]}=2(a−3b)[(a)2+a×3b+(3b)2]
\sf{ = 2(a - 3b) ( {a}^{2} + 3ab + 9{b}^{2} )}=2(a−3b)(a2+3ab+9b2)
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