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vaieri [72.5K]
3 years ago
14

Math Simplify the expression ​

Mathematics
1 answer:
djyliett [7]3 years ago
4 0

\bf \cfrac{1}{x-10}\div\cfrac{9x}{x^2-9x-10}\implies \cfrac{1}{x-10}\cdot \cfrac{x^2-9x-10}{9x} \\\\\\ \cfrac{1}{\begin{matrix} x-10 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\cdot \cfrac{\begin{matrix} (x-10) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~(x+1)}{9x}\implies \cfrac{x+1}{9x}

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Answer:

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Can you please show me how you got the answer (50 points)
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<em>Answer:</em>

<em />4x^{6}2y^{-2}<em />

<em>Step-by-step explanation:</em>

<em>We can use a property I like to call SEi-F. (Subtract Exponents in a Fraction)</em>

<em>But first, there is an exponent outside of the parentheses in both places. We can use the Power of Parentheses to simplify and then use the SEi-F.</em>

<em>We will start with the x in the numerator.</em>

<em>3*4 = 12</em>

<em>Now for the y in the numerator.</em>

<em>4*4 = 16</em>

<em>Our new numerator is </em>4(2x^{12}y^{16})<em />

<em>We do need to simplify the numerator one more time to get rid of the 4 outside the parentheses.</em>

<em>We will start with x's coefficient.</em>

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<em>Now for y's coefficient.</em>

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<em>*y seems to have no coefficient, but if so, it has a coefficient of 1. This applies to other variables.</em>

<em>Our final simplified numerator is </em>8x^{12}4y^{16}<em>.</em>

<em>Repeat with the denominator.</em>

<em>Try it yourself!</em>

<em>Make sure that when you finish, you finish the fraction.</em>

<em>After completing the denominator, your completed fraction should be:</em>

<em />\frac{8x^{12}4y^{16}}{4x^{6}2y^{18}}<em />

<em>Now we can use the SEi-F to complete the problem.</em>

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<em>8x - 4x = 4x</em>

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<em>The first term is </em>4x^{6}<em>.</em>

<em>Now for y.</em>

<em>4y - 2y = 2y</em>

<em>16 - 18 = -2</em>

<em>The second term is </em>2y^{-2}<em />

<em>The complete, simplified equation is </em>4x^{6}2y^{-2}<em>.</em>

<em>I could be wrong on the answer, but the work should be correct.</em>

<em>Hope this helps. Have a nice day. Oh, and one more thing. Surprised I'm not stealing points?</em>

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