Question

factories: 125x3cube - 343y3cube

Answer 1

Hey frnd:
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Here is yr answer ___________________________

$= > \: 125 {x}^{3} - 343 {y}^{3} \\ \\ = > {5x}^{3} - {7y}^{3} \ \ \\ it \: is \: in \: the \: form \: of \: \\ \\ {x}^{3} - {y}^{3} = (x - y)({x}^{2} + xy + {y}^{2} ) \\ \\ = > \: (5x - 7y)( {(5x)}^{2} + (5x)(7y) + {(7y)}^{2} )$

=> (5x-7y) (25x^2+35xy+49y^2)

Hope it hlpzz....

Answer 2

Hi ,

125x³ - 343y³

= ( 5x )³ - ( 7y )³

[ We know algebraic identity ,

a³ - b³ = ( a - b ) ( a² + ab + b² ) ]

= ( 5x - 7y )[(5x)² + 5x×7y + ( 7y)² ]

= ( 5x - 7y ) [ 25x² + 35xy + 49y² ]

I hope this helps you.

: )