Rational_expressions

Simplify: 6x / 3

Hint: Divide the coefficient by 3

Simplify: 10x² / 5x

Hint: Divide coefficients (10/5) and subtract exponents (2-1)

Simplify: (x² - 4) / (x + 2)

Hint: Factor the numerator as a difference of squares

Simplify: (x² + 3x) / x

Hint: Factor x from the numerator: x(x + 3) / x

For (x + 1)/(x - 3), what value is excluded?

Hint: Set the denominator equal to zero

Simplify: (x² - 9) / (x² - 6x + 9)

Hint: Factor both: (x+3)(x-3) / (x-3)²

Simplify: (2x + 6) / 4

Hint: Factor 2 from the numerator: 2(x + 3) / 4

Simplify: (x² + 5x + 6) / (x + 2)

Hint: Factor the numerator: (x+2)(x+3) / (x+2)

Add: 2/x + 3/x

Hint: Same denominator, so add the numerators

Multiply: (x/3) * (6/x^2)

Hint: Multiply numerators and denominators, then simplify: 6x / 3x^2

Divide: (x^2/4) / (x/8)

Hint: Multiply by the reciprocal: (x^2/4) * (8/x)

For (x + 4)/(x^2 - x - 6), what value is excluded besides x = 3?

Hint: Factor the denominator: (x - 3)(x + 2)