# ABCDEFGHIJKLMNOPQRSTUVWXYZ

#### System of linear inequalities

A set of two or more inequalities.

#### System of linear equations

A set of two or more equations.

#### Sum of difference of two cubes

Let $a$ and $b$ be real numbers, variables, or algebraic expressions.
1. $${\rm{ }}{a^3} + {b^3} = \left( {a + b} \right)\left( {{a^2} – ab + {b^2}} \right)$$ 2. $${\rm{ }}{a^3} – {b^3} = \left( {a – b} \right)\left( {{a^2} + ab + {b^2}} \right)$$

#### Sum and difference of two terms

Let $a$ and $b$ be real numbers, variables, or algebraic expressions. $$\left( {a + b} \right)\left( {a – b} \right) = {a^2} – {b^2}$$

#### Sum

The result when two or more numbers are added.

#### Subtracting one integer from another

Add the opposite of the integer being subtracted to the other integer.

#### Subtracting fractions with unlike denominators

Rewrite the fractions so that they have like denominators. Then use the rule for subtracting fractions with like denominators.

#### Subtracting fractions with like denominators

Let $a$, $b$, and $c$ be integers with $c$$$\ne$$0. Then use the following rule: $$\frac{a}{c} – \frac{b}{c} = \frac{{a – b}}{c}$$.

#### Subtraction property of inequalities

Subtract the same quantity form each side. If $$a < b$$ , then $$a + c < b + c$$.

#### Standard form of a polynomial

Let $${a_n},{\rm{ }}{a_{n – 1}},{\rm{ }}…,{\rm{ }}{a_2},{\rm{ }}{a_1},{\rm{ }}{a_0}$$ be real numbers and let n be a non negative number. Order the terms with descending exponents.
${a_n}{x^n} + {a_{n – 1}}{x^{n – 1}} + … + {a_2}{x^2} + {a_1}x + {a_0}$

Glossary: S