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Addition and Subtraction of Rational Expressions
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Addition and Subtraction of Rational Expressions
To add and subtract rational expressions, follow the following steps
Step I: Factor everything and find the least common denominator.
Step II: Multiply the numerators and the denominators by the appropriate denominator so that the denominator becomes the least common Denominator.
Step III: Add or subtract the numerators together.
Step IV: Factor the numerator.
Step V: Cancel any common factors.
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Example: If P = 4x + 1/x, find P + 1/P.
Solution We have,
P = 4x + 1/x = (4x2 + 1)/ x
1/P = x / (4x2 + 1)
P + 1/P = (4x2 + 1) + x/(4x2 + 1)
[(4x2 + 1)2 + x2] / x(4x2 + 1)
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