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math theorems
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Gravity
Terms in this set (19)
a²+b²=c²
Pythagora's theorem
amount÷whole amount x 100%
expressing quantities as a fraction
profit÷cost price × 100%
profit
loss÷cost price × 100%
loss
10%
GST
I=PRN
simple interest
a(b+c)=ab+ac
a(b-c)=ab-ac
the distributive law
(a+b)(c+d)=ac+ad+bc+bd
the distributive law for a binomial product
(a+b)²=a²+2ab+b²
Perfect squares
(a+b)(a-b)=a²-b²
difference of two squares
a²-b²=(a+b)(a-b)
factorizing the difference of two squares
sinθ=opposite ÷hypotenuse
sin
cosθ=adjacent ÷ hypotenuse
cos
tanθ=opposite÷adjacent
tan
aⁿ×a⁰=aⁿ⁺⁰
multiplying terms with the same base
aⁿ÷a⁰=aⁿ⁻⁰
dividing terms with the same base
(aⁿ)⁰=aⁿ×⁰
raising a term with a power to another power
(ab)ⁿ=aⁿbⁿ
raising a product of terms to a power
(a÷b)ⁿ=aⁿ÷bⁿ
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