study presentation on algebra formulae & such. factoring and solving
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Study PagesStudy Presentation on
Algebra Formulae & such
Factoring and Solving
x2 – a2 = (x+a)(x-a)
x2 + 2ax+ a2 =(x+a)
2
(x + a)2= x2 +2ax+ a2
x2 - 2ax + a2 = (x-a)2
(x-a)2= x2 - 2ax + a2
Arithmetic Operations
abc
a .
bc
abc
ac . b
Properties of
Inequalities
(adding or subtracting c)
If a < b then:
a+c < b+cand
a-c < b-c
(multiplying or dividing by c)
If a < b AND c > 0 then:
ac < bcand
a/c < b/c
(multiplying or dividing by c)
If a < b AND c < 0 then:
ac > bcand
a/c > b/c
Exponent Properties
(ab)n = anbn
(an)m = anm
anam = an+m
an/m = (a1/n)m
= (a1/m)n
a-n = 1 an
a0 = 1
a ≠ 0
(a/b)-n = (b/a)n
= bn
an
an/am = an-m
= 1/am-n
(a/b)n =
= an
bn
Properties of Radicals
ⁿ√a = a1/n
ⁿ√ab = ⁿ√a(ⁿ√b)
ⁿ√aⁿ = |a|
m√ⁿ√a =nm√a
n a/b =n√an√b
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