Which expression is equivalent to \dfrac{x^2 - 4}{x + 3} \div \dfrac{x - 2}{x^2 + 3x} for valid x?

x(x + 2) \dfrac{(x-2)(x+2)}{x+3} \cdot \dfrac{x(x+3)}{x-2} = (x+2) \cdot x = x(x+2).

Equivalent Expressions

SAT Math· difficulty 4/5

\dfrac{x^2 - 4}{x + 3} \div \dfrac{x - 2}{x^2 + 3x}

Explanation

\dfrac{(x-2)(x+2)}{x+3} \cdot \dfrac{x(x+3)}{x-2} = (x+2) \cdot x = x(x+2)

Want 10 more like this — adaptive to your weak spots?