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What is the formula for the Difference of Squares?

a² - b² = (a - b)(a + b)

What is the formula for a Perfect Square Trinomial (Positive)?

a² + 2ab + b² = (a + b)²

What is the formula for a Perfect Square Trinomial (Negative)?

a² - 2ab + b² = (a - b)²

What is the formula for the Sum of Cubes?

a³ + b³ = (a + b)(a² - ab + b²)

What is the formula for the Difference of Cubes?

a³ - b³ = (a - b)(a² + ab + b²)

What is the outcome when dividing exponents with the same base?

a^m / a^n = a^(m - n), a ≠ 0

What does the Power of a Power rule state?

(a^m)^n = a^(m × n)

What is the value of a raised to the zero exponent?

a⁰ = 1, a ≠ 0

What does a negative exponent represent?

a^(-n) = 1 / a^n

How is a radical expressed as a fractional exponent?

ⁿ√(a^m) = a^(m/n)

What is the square root of a squared term?

√(a²) = |a|

How do you express the square root of a product?

√(ab) = √a × √b

What is the quotient of square roots rule?

√a / √b = √(a/b)

What does the Log of a Product rule state?

logb(xy) = logb(x) + log_b(y)

What is the formula for the Log of a Quotient?

logb(x/y) = logb(x) - log_b(y)

How do you express the Log of a Power?

logb(x^n) = n × logb(x)

What is the result of multiplying rational expressions?

(a/b) × (c/d) = (ac)/(bd)

What is the result of dividing rational expressions?

(a/b) ÷ (c/d) = (a × d)/(b × c)