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start learning

Question		Answer
(a + b)" = start learning		a" + 2ab + b"
(a - b)" = start learning		a" - 2ab + b"
(a + b)"' start learning		a"' + 3a"b + 3ab" + b"'
(a - b)"' start learning		a"' - 3a"b + 3ab" - b"'
a" - b" start learning		(a - b)(a + b)
a"' + b"' start learning		(a + b)(a" - ab + b")
a"' - b"' start learning		(a - b)(a" + ab + b")
a^n -b^n start learning		[a-b][a^(n-1) + a^(n-2)b + a^(n-3)b^2 + ... +ab^(n-2) + b^(n-1)]
(a+b)^n start learning		(n 0)a^n +(n 1)a^[n-1]b +(n 2)a^[n-2]b^2 + ... +(n n-1) a*b^[n-1] +(n n)b^n
(n k)= Binomial coefficient start learning		n! / [k!(n-k)!]
(n 0) = (n n) = start learning		1
(n 1) = (n n-1) = start learning		n
(a+b+c)"= start learning		a"+b"+c" +2(ab+ac+bc)

Short multiplication formulas