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][br]This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.