Question

Factorize: 10x^4y -10xy^4

Answer 1

$10 {x}^{4}y - 10x {y}^{4} \\ = 10xy( {x}^{3} - {y}^{3} ) \\ = 10xy(x - y)( {x}^{2} + xy + {y}^{2} )$

Answer 2

10x^4y-10xy^4=10xy(x^3-y^3)
=10xy(x-y)(x^2+xy+y^2)