Simplify the rational expression [math]\frac{x^2+9x+14}{x^2+7x}\div\frac{x^2+x-2}{4x^2-4x}[/math].

[list=1][br][*]Rewrite the division problem as a multiplication problem, using the reciprocal of the divisor.[br][/*][*]Identify any invalid values of the rewritten expression.[br][/*][*]Check for factors that may cancel, then multiply the terms of the rewritten expression.[br][/*][/list][br]This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url=http://www.walch.com/]www.walch.com[/url] for more information.