✪Class 10✪
✪Chapter 11 ✪
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Answer:
Algebra Formulas For Class 11
1 (a + b)2 = a2 + 2ab + b2
2 (a – b)2= a2– 2ab + b2
3 (a + b)3 = a3 + 3ab(a + b) + b3
4 (a – b)3 = a3 – 3ab(a – b) + b3
5 a2 – b2= (a + b)(a – b)
6 a3 – b3 = (a – b)(a2 + ab + b2)
7 a3 + b3 = (a + b)(a2 – ab + b2)
8 a4 – b4 = (a2 – b2)(a2 + b2)
9 a5 – b5 = (a – b)(a4+ a3b + a2b2 + ab3 + b4 )
10 a5 + b5 = (a + b)(a4 – a3b + a2b2– ab3 + b4 )
11 (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ac
12 (a – b – c)2 = a2 + b2 + c2– 2ab + 2bc – 2ac
13 a3 + b3+ c3– 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca
14 If n is even, then
an – bn = (a – b)(an-1 + an-2b +an-3b2 + …+ abn-2 + bn-1)
15 If n is odd, then
an + bn = (a + b)(an-1 – an-2b +an-3b2 – …- abn-2 + bn-1)
16 (am )(an ) = am+n
17 (ab)m = ambm
18 (am)n = amn
Step-by-step explanation:
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