Question

ab(asquare+bsquare-csquare)-bc(csquare-asquare-bsquare)+ca(asquare+bsquare-csquare

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

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