Question

(iv) (a-¹ + b-¹) ÷ (ab)-¹. Simplify it

Answer is (a + b).



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Answer 1

Answer:

$( {a}^{ - 1} + {b}^{ - 1} ) \div {(ab)}^{ - 1} \\ = ( \frac{1}{a} + \frac{1}{b} ) \div \frac{1}{ab} \\ = \frac{a + b}{ab} \times ab \\ = a + b \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$