morganalexa98 morganalexa98
  • 25-05-2017
  • Mathematics
contestada

What is the product? x^2-16/2x+8 * x^3-2x^2+x/x^2+3x-42

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WeatheringWithYou
WeatheringWithYou WeatheringWithYou
  • 25-05-2017
Factor to get

[tex] \frac{x(x-4)(x-1)(x-1)}{2(x^2+3x-42)} [/tex]
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Аноним Аноним
  • 15-07-2019

Answer with explanation:

[tex]\rightarrow\frac{x^2-16}{2x+8} \times \frac{x^3-2 x^2+x}{x^2+3 x-42}\\\\=\frac{(x-4)(x+4)}{2\times (x+4)} \times \frac{x \times (x^2-2 x+1)}{x^2+3 x-42}\\\\=\frac{x(x-4)(x-1)^2}{2\times (x^2+3 x-42)}\\\\\text{Used the Identity}}\\\\a^2-b^2=(a-b)(a+b)\\\\(a-b)^2=a^2-2 a b+b^2[/tex]

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