By Robert O

The basic definition of a composite function is that it has two functions in one. The inner function is a variable to the outer function. $$

If a fraction has a fraction or fractions either on the numerator, denominator, or both, then it becomes a complex fraction (aka compound fraction). Simplifying compound fractions is no different from solving other fractions. Such fractions may seem complex, but following the necessary steps makes everything easier.

Equations with one or more expressions are rational equations. Such equations may involve additions, subtractions, multiplications, and divisions. Rational expressions are ratios of two numbers, numerator and denominator, where denominator is never zero.

Handling inequalities that involve absolute values follow the same steps for solving equations with absolute values. You can refer to our previous tutorial as a prerequisite to this lesson. However, we will again list all the steps here and use them in solving some examples.

The difference of two squares formula is useful when factoring quadratic expressions. In general form, a difference of two squares is$$

Whether you face an algebraic fraction with exponents or without exponents, there is no difference in the solution steps. What we need to mention here is that the types of algebraic fractions in the previous tutorial were all monomials.

An equation is linear only if the exponents of the unknown variables equal to one. For a system of linear equations, an equation should have at least one variable.

Fraction, which means breaking in Latin, is a way of representing a part or several parts of a whole unit. Fractions are noted or written down with two numbers, one at the top (aka numerator) and the other at the bottom (denominator), separated by a bar.

To understand this term, we first have to define factors. A simple definition of factors is that they are whole numbers whose product gives another number. In other words, if a is a factor of A, then dividing A by should leave no remainder.