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dsouthgate
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(A  B)(A + B)=
A^{2 } B^{2}

(A + B)^{2}=
(A + B)(A + B) = A^{2 } 2AB + B^{2}

(A  B)^{2=}
(A  B)(A  B) = A^{2}  AB + B^{2}

(A + B)^{3 }=
A^{3 }+ 3A^{2}B + 3AB^{2} + B^{3}

(A  B)^{3} =
A^{3}  3A^{2}B + 3AB^{2} B^{3}

