Dividing rational expressions is basically two simplifying problems put together. When dividing rationals, we factor both numerators and denominators and identify equivalents of one to cancel. After identifying these equivalents, we take the reciprocal of the second fraction and divide. Multiplying rational expressions is the same as dividing rationals, except that we do not take the reciprocal of the second fraction.
Sample Problems (9)
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|x² + 3x + 2||⋅||x² + 7x + 12|
|x² + 4x + 3||x² − 4|
|y² − 4||÷||2 − y|
|(||2x³ + 3x² − 2x||⋅||x² − 3x − 10||) ÷||3x² + 12x + 12|
|2x³ − x²||3x − 15||5x² − 10x|