Question

Factorise the expressions and divide them as directed
a) 3(x3y6-x6y3) /x3y3
I have have written x3 because I mean x cube is there and by this all are written like that
Please answer​

Answer 1

$\frac{3( {x}^{3} {y}^{6} - {x}^{6} {y}^{6}) }{ {x}^{3} {y}^{3} } \\ \\ = > \: \: \frac{ (3)( {x}^{3} {y}^{3} )( {y}^{3} - {x}^{3} )}{ {x}^{3} {y}^{3} } \\ \\ Now \: cancle \: out \: like \: terms, \: \\ \\ = > \: (3)( {y}^{3} - {x}^{3} ) \\ \\ = > \: \: (3)(y - x)( {y}^{2} + {x}^{2} + xy)$

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