A.APR.D.7: Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions.

Example Problems

Consider the following rational expression:

\frac{x^2 - 1}{5x^2 + 5x}

What is an equivalent expression in lowest terms?

Consider the following rational expression:

\frac{x^2 - 16}{5x^2 - 20x}

What is an equivalent expression in lowest terms?

Consider the following rational expression:

\frac{x^2 - 49}{4x^2 + 28x}

What is an equivalent expression in lowest terms?

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