Question

factorise
$x(x {}^{3} - y {}^{3} ) + 3xy(x - y)$

Answer 1

Answer :

Now,

x (x³ - y³) + 3xy (x - y)

= x (x - y) (x² + xy + y²) + 3xy (x - y)

= x (x - y) (x² + xy + y² + 3y),

which is the required factorization.

#MarkAsBrainliest

Answer 2

x(x³-y³) + 3xy(x - y)

=> x[ (x³ - y³) +3y(x - y)]

=> x [ (x - y)(x² + xy + y²) + 3y(x - y)]

=> x(x - y) [ x² + y² +xy + 3y]

=> (x)(x - y) (x² + y² + xy + 3y)

I hope this will help you


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