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Factorise : A3 + 0.064 -

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Question

Factorise : a3 + 0.064

Sum

Solution

a3 + 0.064 
= (a)3 + (0.4)3
= ( a + 0.4 )[ (a)2 - a x 0.4 + (0.4)2 ]               [ ∵ a3 + b3 = ( a + b )( a2 - ab + b2 ) ]

= ( a + 0.4 )( a2 - 0.4a + 0.16 )

shaalaa.com
Method of Factorisation : the Sum Or Difference of Two Cubes
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