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Mathematics LibreTexts

12.3: Important and Useful Rules/Formulas

( \newcommand{\kernel}{\mathrm{null}\,}\)

Exponents (Assume each expression is defined.)

anam=an+m

anam=anm

(an)m=anm

(ab)n=anbn

a1=1n

an=1an

a0=1

(ab)n=anbn

Factorization and special product formulas

ab+ac=a(b+c)

a2+2a+b2=(a+b)2

a2b2=(a+b)(ab)

a22ab+b2=(ab)2

Formulas

x=b±b24ac2a Quadratic formulay=mx+b Slope-intercept form of a straight lineyy1=m(xx1) Point-slope form of a straight linem=y2y1x2x1 Slope of a straight line passing through the points (x1,x2) and (y1,y2)


This page titled 12.3: Important and Useful Rules/Formulas is shared under a CC BY 4.0 license and was authored, remixed, and/or curated by Denny Burzynski & Wade Ellis, Jr. (OpenStax CNX) .

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