Question
Factorise $:a^3+ 0.064$

Answer

$a^3 + 0.064$
$= (a)^3 + (0.4)^3$
$= ( a + 0.4 )[ (a)^2 - a x 0.4 + (0.4)^2 ] [ \because a^3 + b^3 = ( a + b )( a^2 - ab + b^2) ]$
$ = ( a + 0.4 )( a^2 - 0.4a + 0.16 )$

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