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maksim [4K]
2 years ago
9

Can someone please help me!!

History
2 answers:
Ne4ueva [31]2 years ago
6 0
Wood: It can burn to make a fire for cooking, the great source of fire.
gasoline: It burn inside the car to make the fuel for the car run.
Oil: Source of energy was use in a power plant to make produce electricity energy.
Mashutka [201]2 years ago
3 0

Oil, gasoline, and light bulb are the only sources of energy because a light bulb powers light, oil can power a lamp, etc, and gasoline can fuel a car.
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Answer:

\frac{12x}{x^4-1}

Explanation:

Given

(\frac{x+1}{x-1} - \frac{x-1}{x+1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

Required

Solve:

Take L.C.M of the first two fractions

(\frac{(x+1)(x+1)-(x-1)(x-1)}{(x-1)(x+1)} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

(\frac{(x+1)(x+1)-(x-1)(x-1)}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

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Collect Like Terms

(\frac{x^2-x^2+2x+2x+1-1}{x^2-1} - \frac{4x}{x^2 + 1}) + \frac{4x}{x^4 - 1}

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Solve the expression in bracket

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(\frac{4x(x^2+1) - 4x(x^2-1)}{x^4-1} ) + \frac{4x}{x^4 - 1}

(\frac{4x^3+4x - 4x^3+4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}

(\frac{4x^3- 4x^3+4x +4x)}{x^4-1} ) + \frac{4x}{x^4 - 1}

\frac{8x}{x^4-1} + \frac{4x}{x^4 - 1}

Take LCM

\frac{8x+4x}{x^4-1}

\frac{12x}{x^4-1}

<em>The expression can not be further simplified</em>

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