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Study Pages. Study Presentation on Algebra Formulae & such. Factoring and Solving. x 2 – a 2 =. ( x+a )(x - a). x 2 + 2ax+ a 2 =. ( x + a ) 2. (x + a) 2 =. x 2 + 2ax+ a 2. x 2 - 2ax + a 2 =. (x - a) 2. (x - a) 2 =. x 2 - 2ax + a 2. Arithmetic Operations. a b c. a . bc.
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Study Pages Study Presentation on Algebra Formulae & such
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
abc a . bc
abc ac . b
(adding or subtracting c)If a < b then: a+c<b+canda-c < b-c
(multiplying or dividing by c)If a < b ANDc > 0 then: ac <bcanda/c < b/c
(multiplying or dividing by c)If a < b ANDc < 0 then: ac >bcanda/c > b/c
(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 =bnan
an/am = an-m =1/am-n
(a/b)n = = anbn
ⁿ√a = a1/n
ⁿ√ab = ⁿ√a(ⁿ√b)
ⁿ√aⁿ = |a|
m√ⁿ√a = nm√a
na/b = n√a n√b