Equivalent Expressions #1

An equivalent expression is an expression that has the same value as another expression for all values of the variables involved.

To simplify a fraction with negative exponents, move the base with the negative exponent to the opposite part of the fraction (numerator to denominator or vice versa) and change the sign of the exponent.

Factoring a quadratic expression involves rewriting it in the form (ax + b)(cx + d) such that the product equals the original expression.

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

To combine like terms, add or subtract the coefficients of terms that have the same variable raised to the same power.

When multiplying two expressions with the same base, you add the exponents: a^m * a^n = a^(m+n).

When dividing two expressions with the same base, you subtract the exponents: a^m / a^n = a^(m-n).

Two expressions are defined when the values of the variables do not lead to any undefined operations, such as division by zero.

The standard form of a quadratic equation is ax^2 + bx + c = 0, where a, b, and c are constants.

The roots of a quadratic equation can be found using the quadratic formula: x = (-b ± √(b² - 4ac)) / (2a).