Algebra: A Combined Approach (4th Edition)

Published by Pearson

Chapter 5 - Section 5.4 - Adding and Subtracting Polynomials - Exercise Set: 12

Answer

$-\dfrac{1}{7}n^{2}+\dfrac{5}{12}m-\dfrac{7}{20}$

Work Step by Step

$\Big(-\dfrac{4}{7}n^{2}+\dfrac{5}{6}m-\dfrac{1}{20}\Big)+\Big(\dfrac{3}{7}n^{2}-\dfrac{5}{12}m-\dfrac{3}{10}\Big)$ Remove both parentheses: $-\dfrac{4}{7}n^{2}+\dfrac{5}{6}m-\dfrac{1}{20}+\dfrac{3}{7}n^{2}-\dfrac{5}{12}m-\dfrac{3}{10}=...$ Simplify by combining like terms: $...=\Big(\dfrac{3}{7}-\dfrac{4}{7}\Big)n^{2}+\Big(\dfrac{5}{6}-\dfrac{5}{12}\Big)m-\Big(\dfrac{1}{20}+\dfrac{3}{10}\Big)=...$ $...=-\dfrac{1}{7}n^{2}+\dfrac{60-30}{72}m-\dfrac{10+60}{200}=...$ $...=-\dfrac{1}{7}n^{2}+\dfrac{30}{72}m-\dfrac{70}{200}=...$ $...=-\dfrac{1}{7}n^{2}+\dfrac{5}{12}m-\dfrac{7}{20}$

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