Perform the indicated operation x^2-9/x^2 x 2x^3/x^2 + 5x + 6.

Question

Perform the indicated operation x^2-9/x^2 x 2x^3/x^2 + 5x + 6.

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Xavia 4 years 2021-08-13T06:55:15+00:00 2 Answers 8 views 0

Answers ( )

  1. King
    0
    2021-08-13T06:57:06+00:00
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    Answer:

    =  x^3+5x^2+6x−18
    /x

    Step-by-step explanation:

  2. hongcuc2
    0
    2021-08-13T06:57:07+00:00
    Reply

    Answer:

    • 2x(x – 3)/(x+2)

    Step-by-step explanation:

    (x²-9)/x² × 2x³/(x² + 5x + 6)

    • ⇒ a² – b² = (a+b)(a-b)  
    • ⇒ x²- 9= (x+3)(x -3)
    • ⇒ x² + 5x + 6 = x² + 2x + 3x + 6= x(x+2) + 3(x+2) = (x+3)(x+2)

    Using the above factorization in the given:

    • (x²-9)/x² × 2x³/(x² + 5x + 6)=
    • (x+3)(x-3) × 2x/ (x+3)(x+2) =
    • 2x(x – 3)/(x+2)

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