kxmgoatty kxmgoatty
  • 24-09-2021
  • Mathematics
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Enter the correct answer in the box
What is the simplest form of the expression representing this quotient?

Enter the correct answer in the box What is the simplest form of the expression representing this quotient class=

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jcherry99
jcherry99 jcherry99
  • 24-09-2021

Answer:

Step-by-step explanation:

Invert and multiply the second fraction.

[tex]\frac{x^2 - 2x}{x^2 - 10x + 25} *\frac{x^2 - 25}{6x^2 - 12x}[/tex]

All 4 parts of the two fractions can be factored into simpler factors.

[tex]\frac{x(x - 2)}{(x - 5)(x - 5)} * \frac{(x + 5)(x - 5)}{6(x - 2)}[/tex]

Numerous cancelations can occur

  • (x - 5) [top right with x - 5 bottom left]
  • (x - 2) [top left with x - 2 bottom right]

Answer

[tex]\frac{x}{(x -5)} * \frac{(x + 5)}{6}[/tex]

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thenightbeast617
thenightbeast617 thenightbeast617
  • 24-09-2021
I got it right thanks :)
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