Answer :

Answer:

2 • (2x3 - 9x2 + 10x - 1)

 ————————————

            x2      

Step-by-step explanation:

Step  1:

Simplify

Step 2:

Simplify

Step 3:

Simplify

Step  4  :

Rewriting the whole as an Equivalent Fraction

Final result :

 2 • (2x3 - 9x2 + 10x - 1)

 —————————————

            x2    

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Answer:

[tex]\frac{30}{x-2}[/tex]

Step-by-step explanation:

Factor where possible the numerators/ denominators

5x + 20 = 5(x + 4)

x² + x - 12 = (x + 4)(x - 3)

6x - 18 = 6(x - 3)

Change division to multiplication and turn the second fraction upside down.

Substituting the factors from above.

[tex]\frac{5(x+4)}{x-2}[/tex] × [tex]\frac{6(x-3)}{(x+4)(x-3)}[/tex]

Cancel (x + 4) and (x - 3) on the numerator/denominator, leaving

[tex]\frac{5(6)}{x-2}[/tex] = [tex]\frac{30}{x-2}[/tex]

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