Question

(a²b,-b²a)² evaluate using identities

Answer 1

${( {a}^{2}b - {b}^{2}a )}^{2} \\ \\ {( {a}^{2}b )}^{2} + {( {b}^{2}a )}^{2} - 2( {a}^{2} b)( {b}^{2}a ) \\ \\ {a}^{4} {b}^{2} + {b}^{4} {a}^{2} - 2( {a}^{3} {b}^{3} ) \\ \\ {a}^{4} {b}^{2} + {b}^{4} {a}^{2} - {2a}^{3} {b}^{3}$

Answer 2

$\bf \huge \bigstar \: \: [ {a}^{2}b - {b}^{2}a ]^{2} \\ \\ \tt \implies \: {( {a}^{2}b )}^{2} + {( {b}^{2}a )}^{2} - 2({a}^{2}b)({b}^{2}a) \\ \tt \implies \: \red{ {a}^{4} {b}^{2} + {b}^{4} {a}^{2} - 2 {a}^{3} {b}^{3} }$

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