Question

HELP PLEASE I DONT KNOW THIS ONE

Answer 1

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  `\sf{(2)/( x^2-9)-(3x)/(x^2-5x+6)}`

• 
  `\sf{(2)/( (x)^2-(3)^2)-(3x)/(x^2-2x-3x+6) }`

• 
  `\sf{(2)/((x+3)(x-3))-(3x)/(x(x+2)-3(x+2)) }`

• 
  `\sf{(2)/((x+3)(x-3))-(3x)/((x+2)(x-3))}`

• 
  `\sf{(2(x-2)-3x(x+3))/((x+3)(x-2)(x-3)) }`

• 
  `\sf{(2x-4-(3x^2-9x))/((x+3)(x-2)(x-3) )}`

• 
  `\sf{(2x-4-3x^2+9x)/((x+3)(x-2)(x-3) )}`

• 
  `\sf{(-3x^2+7x-4)/((x+3)(x-2)(x-3) )}`

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Answer 2

-3x^2 +7x -4

-------------------------------

(x-3)(x-2)(x+3)

Explanation:

2 3x

-------- - ----------

X^2-9 x^2 -5x+6

Factor

2 3x

-------- - ----------

(x-3)(x+3) (x-3)(x-2)

Get a common denominator

2 (x-2) 3x(x+3)

-------- - ----------

(x-3)(x+3)(x-2) (x-3)(x-2)(x+3)

2x-4 - (3x^2 -9x)

-------------------------------

(x-3)(x-2)(x+3)

Distribute

2x-4 - 3x^2 +9x

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(x-3)(x-2)(x+3)

Combine like terms

-3x^2 +7x -4

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(x-3)(x-2)(x+3)