Question

write all the algebric identifies and law of exponents.

Answer 1

Laws of exponents:
1)  am × an = a(m+n)
2)  am / an = a(m − n)
3)  (am)n = amn
4) a0 = 1
5)  am × bm = (ab)m
6)  am /  bm = (a/b)m
7) nth root a = a−(1/n)

Algebraic Identities:
(a + b)2 = a2 + b2 + 2ab
(a − b)2 = a2 + b2 − 2ab
(a − b) (a + b) = a2 − b2 
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a − b)3 = a3 − 3a2b + 3ab2 − b3
a3 − b3 = (a − b)(a2 + b2 + ab)    
a3 + b3 = (a + b)(a2 + b2 − ab)