theylovebabykarla
theylovebabykarla theylovebabykarla
  • 25-05-2021
  • Mathematics
contestada

Simplify the following expression completely.
{x^2+11x+28}
{x^2+x-12}
wrote like division

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annahardee2232
annahardee2232 annahardee2232
  • 25-05-2021
Can you please upload a picture?
Answer Link
nancygoyal
nancygoyal nancygoyal
  • 25-05-2021

Answer:

[tex] \frac{x + 7 }{x - 3} [/tex]

Step-by-step explanation:

First factorize both expressions

[tex] \frac{ {x }^{2} + 11x + 28 }{x { }^{2} + x - 12} \\ \frac{x {}^{2 } + 7x + 4x + 28 }{x { }^{2} + 4x - 3x - 12 } \\ \frac{x(x + 7) + 4(x + 7)}{x(x + 4) - 3(x + 4) } \\ \frac{(x + 7)(x + 4)}{(x + 4)(x - 3)} [/tex]

Now you can cross out x+4

and you'll be left with

[tex] \frac{x + 7}{x - 3} [/tex]

Answer Link

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