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3 years ago

Simplify x^2+6x+8/x+2

Mathematics

1 answer:

Lady_Fox [76]3 years ago

3 0

Answer:

$(x + 4)$

Step-by-step explanation:

$\frac{ {x}^{2} + 6x + 8}{x + 2} \\ \frac{ {x}^{2} + 4x + 2x + 8}{x + 2} \\ \frac{ x(x + 4) + 2(x + 4) }{(x + 2)} \\ \frac{(x + 2)(x + 4)}{(x + 2)} \\ = ( x+ 4)$

Hope this helps you.

Let me know if you have any other questions :-)

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Solve:

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Step 3: Divide both sides by -2:

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natulia [17]

Answer:

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yawa3891 [41]

--------------------------------------------------------
Equation Given
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x² + 2x = 17

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Add the constant to make it perfect square
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x² + 2x + (2/2)² - ²(2/2)² = 17

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x² + 2x + (1)² - ²(1)² = 17

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Form the perfect square
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(x + 1)² - 1 = 17

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(x + 1)² = 17 + 1
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