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2014-09-18T20:25:26+03:00
1.(a+b)^2=(a+b)(a+b)=a^2+ab+ab+b^2=a^2+2ab+b^2
2.(a-b)^2=(a-b)(a-b)=a^2-ab-ab+b^2=a^2-2ab+b^2
3.(a-b)(a+b)=a^2+ab-ab-b^2=a^2-b^2
4.(a-b)^3=(a-b)^2*(a-b)=(a^2-2ab+b^2)(a-b)=a^3-2a^2b+b^2a-a^2b+2b^2a-b^3=a^3-3ab(a-b)-b^3
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