Question

$( {a}^{2} )- 2ab + {b}^{2}( { a}^{3} - {b}^{3} ) \\ (b - a)(a - b) \\ (b - c)( {a}^{2} + ab + {b}^{2})$
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Answer 1

Explicación paso a paso:

$({a}^{2}) - 2ab + {b}^{2} ( {a}^{3} - {b}^{3} )$

$= a(a - 2b) + {b}^{2} ( {a}^{3} - {b}^{3} )$

$(b - a)(a - b)$

$= ab - {b}^{2} - {a}^{2} + ab$

$= - {a}^{2} - {b}^{2} + 2ab$

$= a( - a + 2b) - {b}^{2}$

$(b - c)( {a}^{2} + ab + {b}^{2} )$

$= {a}^{2} b + a {b}^{2} + {b}^{3} - {a}^{2} c - abc - {b}^{2} c$

$= a(ab - bc - ac) + {b}^{2} (a + b - c)$