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madam [21]
3 years ago
15

Square root of x^2-4 plus x^2/x^2+1

Mathematics
1 answer:
Akimi4 [234]3 years ago
3 0
√x² - 4 + x²/x² + 1
x - 2 + x²/x² + 1
<u>x - 2</u> + <u>   x²    </u>
   1      x² + 1
<u>(x - 2)(x² + 1)</u> +<u>   x²    </u>
  (1)(x² + 1)      x² + 1
<u>x³ + x - 2x² - 2</u> + <u>  x²    </u>
       x² + 1          x² + 1
<u>x³ - 2x² + x² + x - 2</u>
           x² + 1
<u>x³ - x² + x - 2</u>
     x² + 1
x³ + x - 2
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The length of the missing leg is 56 meters.

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Use the Pythagorean theorem to figure out the leg of the missing leg.

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Looking at the problem, what we must do to complete this question is to completely factor the expression that was provided.  The expression that was provided is 15c^2 - 5c.

The first step that we must do is to take a look at the expression and see what the two pieces of the expression have in common.  We can see that both 15c^2 and -5c have the number 5 and the variable c associated with them so we can factor out those two.

<u>Factor out 5c</u>

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Now we have completely factored out the expression that was provided in the problem statement and we came to final answer of 5c(3c - 1).

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