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Neko [114]
3 years ago
9

Probably made by anglo-saxon women, the bayeux embroidery was produced by what technique?

History
1 answer:
finlep [7]3 years ago
8 0

stem and laid-and-couched stitches

Hope this Helps! ;)

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What president is known for porting care, protecting women’s rights, and balancing the federal budget
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(x+1/x-1 - x-1/x+1 - 4x/x^2 +1) + 4x/x^4-1​
Lunna [17]

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

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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}

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

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

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}

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

Solve the expression in bracket

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

(\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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