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Got it! Here’s your flashcard list rewritten cleanly and without math code formatting — just simple “Term: Definition” style:

Factoring Formulas

• Difference of Squares: a² - b² = (a - b)(a + b)

• Perfect Square Trinomial (Positive): a² + 2ab + b² = (a + b)²

• Perfect Square Trinomial (Negative): a² - 2ab + b² = (a - b)²

• Sum of Cubes: a³ + b³ = (a + b)(a² - ab + b²)

• Difference of Cubes: a³ - b³ = (a - b)(a² + ab + b²)

Exponent Rules

• Dividing Exponents (Same Base): a^m / a^n = a^(m - n), a ≠ 0

• Power of a Power: (a^m)^n = a^(m × n)

• Zero Exponent: a⁰ = 1, a ≠ 0

• Negative Exponent: a^(-n) = 1 / a^n

Radical Equivalencies & Simplifying

• Radical to Fractional Exponent: ⁿ√(a^m) = a^(m/n)

• Square Root of a Squared Term: √(a²) = |a|

• Square Root of a Product: √(ab) = √a × √b

• Quotient of Square Roots: √a / √b = √(a/b)

Logarithm Rules

• Log of a Product: log_b(xy) = log_b(x) + log_b(y)

• Log of a Quotient: log_b(x/y) = log_b(x) - log_b(y)

• Log of a Power: log_b(x^n) = n × log_b(x)

Rational Expressions

• Multiplying: (a/b) × (c/d) = (ac)/(bd)

• Dividing: (a/b) ÷ (c/d) = (a × d)/(b × c)

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