If AB + BA = 0, then prove that A3 ...
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If AB + BA = 0, then prove that A3 --B3 = (A + B) (AP - AB-B4). D2

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Maths
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( a^{3}-b^{3}=(a-b)left(a^{2}+a b+b^{2}right) ) you know that ( (a-b)^{3}=a^{3}+3 a b(a-b)-b^{3} ) then ( a^{3}-b^{3}=(a-b)^{3}+3 a b(a-b) ) ( =(a-b)left[(a-b)^{2}+3 a bright] ) ( =(a-b)left(a^{2}-2 a b+b^{2}+3 a bright) ) ( =(a-b)left(a^{2}+a b+b^{2}right) )
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