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Dmitry [639]
3 years ago
6

Fully answer the question below

Mathematics
1 answer:
liberstina [14]3 years ago
7 0

Answer:

The second expression is not equivalent to the initial expression.

Step-by-step explanation:

Given: $ \frac{1}{5}g - \frac{1}{10} -g + 1\frac{3}{10}g - \frac{1}{10} $.

Clubbing the co-efficient of g and constant terms. we get:

$ \frac{1}{10}g + (-1)g + 1\frac{3}{10}g + -\frac{1}{10} + - \frac{1}{10} $

This is the first step and is equivalent to the initial expression.

Now, Simplifying the above expression we have:

$ \frac{1}{5}g - g + \frac{13}{10}g + (- \frac{2}{10} )$

⇒ $ ( \frac{1}{5} - 1 + \frac{13}{10}) g $

⇒ $ g (\frac{2 -10 + 13}{10}) - \frac{2}{10} $

⇒$ \frac{5}{10}g - \frac{2}{10} $

⇒ $ \frac{1}{2}g - \frac{1}{5} $

This is not the second step done by him. Not equivalent to the initial step.

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Step-by-step explanation:

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=> -ab = ac+bc+c^2

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Similarly we can show that

-b^2 =ab+bc+ca and -c^2 = ab+bc+ca

So a=b=c. since -a^2 = -b^2 = - c^2

Then 1/a + 1/b + 1/c = 1/(a+b+c) => 3/a= 1/3a

=> 1/a^5 + 1/b^5 + 1/c^5 =3/a^5=(( 3/a )(1/a^4)

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Hope it help

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