283829nr 283829nr
  • 11-04-2018
  • Mathematics
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what is the simplified form of y2 + 7y + 12 / y2 + 8y + 15

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musiclover10045
musiclover10045 musiclover10045
  • 11-04-2018
(y^2 + 7y +12) / (y^2+8y +15)

factor both equations:

(y+3)(y+4) / (y+3) (y+5)

cancel out common factors to get:

y+4 / y+5
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Astute
Astute Astute
  • 11-04-2018
[tex]((((y^2) + 7y) + \frac{12}{y^2} + 8y) + 15 \\ \\ \boxed{y^2+7y= \frac{y^2+7y}{1} = \frac{y^2+7y)*y^2}{y^2} } \\ \\ (pulling \ out \ like \ terms) \\ \\ y^2 + 7y = y * (y + 7) \\ \\ (Your \ answer): \boxed{\bf{y+4 / y+5}}[/tex]
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