Appendix C
771
APPENDIX C| REVIEW OF PRE-CALCULUS
Formulas from Geometry A =area, V = Volume, and S = lateral surface area
Formulas from Algebra Laws of Exponents x m x n = x m + n x m x n =
x m − n ( x m ) n = x mn
⎛ ⎝ x y
⎞ ⎠
n
n y n
= x
x − n = 1 x n x 1/ n = x n
( xy ) n = x n y n
= x n y n
n
x y
xy n = x n y n
n m
x m / n = x = ( x n ) m Special Factorizations x 2 − y 2 = ( x + y )( x − y ) x 3 + y 3 = ( x + y ) ⎛ ⎝ x 2 − xy + y 2 ⎝ x 2 + xy + y 2 ⎞ ⎠ Quadratic Formula If ax 2 + bx + c =0, then x = − b ± b ⎞ ⎠ x 3 − y 3 = ( x − y ) ⎛
2 −4 ca
.
2 a
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