The Facts On File Algebra Handbook

Formulas and Theorems CHARTS & TABLES

Formulas and Theorems CHARTS & TABLES

Formulas and Theorems (continued)

Difference of two cubes

a^3 – b^3 = (a–b)(a^2 +ab+b^2 )

Difference of two squares

a^2 – b^2 = (a+b)(a–b)

Direct variation formula

y=kxn

Distance formula between two points

Distance formula in three dimensions

Fibonacci sequence

For n≥ 3

t 1 = 1

t 2 = 1

tn=tn– 1 +tn– 2

Hyperbola (inverse variation)

k≠ 0

y=k/x

Inverse-square variation

k≠ 0

y=k/x^2

Linear equations

ax+b= 0

Linear equation in two terms

ax+by+c= 0

Linear equation in three terms

ax+by+cz+d= 0

Pascal’s triangle

(continues)

n= ————n!

r r!(n – r)!

d=√(x 1 – x 2 )^2 + (y 1 – y 2 )^2 + (z 1 – z 2 )^2

d=√(x 2 – x 1 )^2 + (y 2 – y 1 )^2