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Text File
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1995-03-13
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2KB
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72 lines
Review of Algebraic Expressions and Exponents
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You MUST have all the following information at your fingertips at all times.
You have NO CHANCE of passing calculus without it.
(a + b) (c + d) = ac + ad + bc + bd
2 2 2
(a + b) = a + 2ab + b
2
(x - a) (x - b) = x - (a + b)x + ab
2 2
(a - b) (a + b) = a - b
2 2 3 3
(a - b) (a + ab + b ) = a - b
If a and b are positive integers:
a b a+b
x x = x
a
x a-b 1
──── = x = ──────
b b-a
x x
a b ab
(x ) = x
a a a
(xy) = x y
a a a
(x/y) = x / y
┌─────────────────┐
│ Common Mistakes │
└─────────────────┘
WRONG - (x - y) = -x - y RIGHT - (x - y) = -x + y
WRONG 2(x + y) = 2x + y RIGHT 2(x + y) = 2x + 2y
2 2 2 2 2 2
WRONG (x + y) = x + xy + y RIGHT (x + y) = x + 2xy + y
2 2 2 2
WRONG (x - y) = (x - y)(x + y) RIGHT (x - y) = x - 2xy + y
2 3 5 2 3 6
WRONG (x ) = x RIGHT (x ) = x
2 3 6 2 3 5
WRONG x x = x RIGHT x x = x
This is the end of the help file. Press the ESC key to return to the quiz
question you were doing.