Multiple choice

Find the sum of additive inverse and multiplicative inverse of the following expression? (abc/de)

  1. {(de)2 + (abc)2}/ abcde

  2. {(de)2 - (abc)2}/ abcde

  3. {(de)2 - (abc)2}/ abde

  4. {(de)2 - (abc)2}/ de

  5. {(de)2 - (abc)2}/ abc
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B Correct answer
Explanation

Given expression is (abc/de). Additive inverse of the given expression is (- abc/de). Thus, abc/de - abc/de = 0 Multiplicative inverse of the given expression is (de/abc). Thus, abc/de x de/abc = 1 So, the required sum of additive inverse and multiplicative inverse = - abc/de + de/abc = {(de)2 - (abc)2}/ abcde

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