Question

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Answer 1

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Answer 2

Step-by-step explanation:

b) Question :-

$simplify \: \: \\ ( \frac{1}{3} ) {}^{ - 2} + ( \frac{1}{4} ) {}^{ - 2} + ( \frac{1}{5} ) {}^{ - 2} - ( \frac{1}{6} ) {}^{ - 2}$

Answer :-

$( \frac{1}{3} ) {}^{ - 2} + ( \frac{1}{4} ) {}^{ - 2} + ( \frac{1}{5} ) {}^{ - 2} - ( \frac{1}{6} ) {}^{ - 2} \\ = (3 {}^{ - 1} ) {}^{ - 2} + (2 {}^{ - 2} ) {}^{ - 2} + (5 {}^{ - 1} ) {}^{ - 2} - (6 {}^{ - 1} ) {}^{ - 2} \\ = (3 {}^{2} ) + (2 {}^{4} ) + (5 {}^{2} ) - (6 {}^{2} ) \\ = 9 + 16 + 25 - 36 \\ = 25 + 25 - 36 \\ = 14$

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