How to simplify a rational expression using factoring

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Learn how to simplify rational expressions. A rational expression is an expression in the form of a fraction where the numerator and/or the denominator are/is an algebraic expression. To simplify a rational expression, we factor completely the numerator and the denominator of the rational expression and cancel out terms common to both the numerator and the denominator of the rational expression.
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Can you explain how to factor something like 2y^2+7y+3? And 2x^2+10x?

jerellordonio
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Can you explain how to factor something like
3x+9÷3

VictoriaBindi-nyqt
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Where did 3x go? Would numerator (x^2-x-42) factor to (x+7)(x-6)?

keithwhiteman