12.3: Important and Useful Rules/Formulas
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Exponents (Assume each expression is defined.)
anam=an+m
anam=an−m
(an)m=anm
(ab)n=anbn
a−1=1n
a−n=1an
a0=1
(ab)n=anbn
Factorization and special product formulas
ab+ac=a(b+c)
a2+2a+b2=(a+b)2
a2−b2=(a+b)(a−b)
a2−2ab+b2=(a−b)2
Formulas
x=−b±√b2−4ac2a Quadratic formulay=mx+b Slope-intercept form of a straight liney−y1=m(x−x1) Point-slope form of a straight linem=y2−y1x2−x1 Slope of a straight line passing through the points (x1,x2) and (y1,y2)