1. (A+B)2 = A2+2AB+B2
2. (A – B)2= A2 – 2AB+ B2
3. A2 – B2= (A-B)(A+B)
4. (A+B)3= A3+3A2B +3AB2+B3
5. (A – B)3 = A3- 3A2B+ 3AB2- B3
6. A3 + B3= (A+B)(A2- AB +B2)
7. A3- B3= (A- B)(A2+ AB+ B2)
8. (A+B+C)2= A2+ B2+C2+2 AB+ 2AC+ 2BC
* CHÚ Ý;
a/ a+b= -(-a-b) ; b/ (a+b)2= (-a-b)2 ; c/ (a-b)2= (b-a)2 ; d/ (a+b)3= -(-a-b)3 e/ (a-b)3=-(-a+b)3
(a+b)^2=a^2+2ab+b^2
(a-b)^2=a^2-2ab+b^2
a^2-b^2=(a+b)(a-b)
(a+b)^3=a^3+3a^2b+3ab^2+b^3
(a-b)^3=a^3-3a^2b+3ab^2-b^3
a^3+b^3=(a+b)(a^2-ab+b^2)
a^3-b^3=(a-b)(a^2+ab+b^2)
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