## Rational Expression Solution4

Here rational expression solution4 we are going to see solution of some practice questions from the worksheet of multiplying rational fractions.

13. [(x² - 5 x + 6 )/(6 x + 6)] x [(4 x - 8)/(x²  - 4x + 3)]

Solution:

= [(x² - 5 x + 6)/(6 x + 6)] x [(4 x - 8)/(x²  - 4x + 3)]

Explanation:

We are going to factorize the quadratic equations (x² - 5 x + 6) , (x²  - 4x + 3)

(x² - 5 x + 6)  = (x - 2) (x - 3)

(x²  - 4x + 3) = (x - 1) (x - 3 )

After cancelling common terms we get 2(x - 2)²/3(x² - 1²) as answer.

14. [(p² - 1)/p] x [p²/(p - 1)] x [1/(p + 1)]

Explanation:

We are going to factorize the quadratic equations (p² - 1)

(p² - 1)  = (P + 1) (P - 1)

After cancelling common terms we get P as answer.

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