Question

factorise 2a³-54b³ plane faster​

Answer 1

Hope this helps you guy!!!

Answer 2

SOLUTION

TO FACTORISE

2a³ - 54b³

FORMULA TO BE IMPLEMENTED

$\sf{ {a}^{3} - {b}^{3} = (a - b) ({a}^{2} + a b + {b}^{2} )}$

EVALUATION

$\sf{2 {a}^{3} - 54 {b}^{3} }$

$\sf{ = 2( {a}^{3} - 27 {b}^{3}) }$

$\sf{ = 2 \bigg[ {(a)}^{3} - {(3b)}^{3} \bigg]}$

$\sf{ = 2(a - 3b) \bigg[ {(a)}^{2} + a \times 3b + {(3b)}^{2} \bigg]}$

$\sf{ = 2(a - 3b) ( {a}^{2} + 3ab + 9{b}^{2} )}$

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