Question

Factorise 64x^3 +343y^3​

Answer 1

Answer:

$(4x + 7y)(16 {x }^{2} - 28xy + 49 {y}^{2} )$

Step-by-step explanation:

$according \: to \: the \: formula \\ {x}^{3} + {y}^{3} = ( {x}^{2} - xy + {y}^{2} ) \\ 64 {x}^{3} = {(4x)}^{3} and \: 343 {y}^{3} = {(7y)}^{3} \\ {(4x)}^{3} + {(7y)}^{3} = (16 {x}^{2} - 28xy + 49 {y}^{2} )$

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