Explanation Given: The rational expression is, 1 m − 1 + 2 m . Property used: Fundamental property, P Q = P S Q S , for all mathematical expressions P , Q , R , and S , with Q ≠ 0 and S ≠ 0 . Addition property, P Q + R Q = P + R Q , for all mathematical expressions P , Q , and R , with Q ≠ 0 . Calculation: Since the denominators of the two rational expressions are different, take least common denominator and then add the numerator while keeping the same denominator. The least common denominator of m and ( m − 1 ) is m ⋅ ( m − 1 ) . Multiply the first term by m m and the second term by m − 1 m − 1 . 1 m − 1 + 2 m = 1 m − 1 ⋅ m m + 2 m ⋅ m − 1 m − 1 [ By Fundamental property ] Simplify the terms as follows, 1 m − 1 + 2

Finite Mathematics and Calculus with Applications

1st Edition

ISBN: 9781323188361

Author: Margaret Lial

Publisher: Pearson Education

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Chapter R.3, Problem 29E

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To express: The rational expression 1m−1+2m in lowest terms.

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To express: The rational expression 1 m − 1 + 2 m in lowest terms.

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