what are the important formula of algebra
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(a+b)= a + b2 + 2ab
(a - b) = a* + b2 - 2ab
a-b= (a + b)(a - b)
a + b = (a + b)-2ab
or
a +b? = (a-b) + 2ab
a + b3 = (a + b)(a- ab + b) = (a + b)3 - 3ab(a+ b)
a-b = (a - b)(a + ab + b) = (a - b) + 3ab(a - b)
2(a + b) = (a + b)2 + (a - b)2
(a+b)2(a - b) = 4ab
a*+b= (a + b)(a - b)[(a+b)2 - 2ab]
(a-b) = (a+b)--4ab
(a+b)2 = (a - b)2 + 4ab
at+b = [(a+b)? - Ab]-2(ab)
(a+b+c) = a +b+c+ + 2ab + 2bc+2ca
(a+b-c)2 = a? +b + c2 + 2ab- 2bc - 2ca
(a-b-c) - a+b + c2 - 2ab + 2bc -2ca
a3+b3 +e3 3abc (a+b+e)(a²+b? +c? - ab- be- ca)
at + ab +b+=(a² + ab + b)(a? - ab + b2
a* + a? +1- (a² + a + 1)(a2-a+1) if a+b+c=0 then a+b 3 +?= 3abc a-be(a + b)(a + b)(a+b)(a-b)
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Answer:
Important Formulas in Algebra
- a2 – b2 = (a – b)(a + b)
- (a+b)2 = a2 + 2ab + b2
- a2 + b2 = (a + b)2 – 2ab.
- (a – b)2 = a2 – 2ab + b2
- (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca.
- (a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca.
- (a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)
- (a – b)3 = a3 – 3a2b + 3ab2 – b3
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