Question

4-4x+x^2 -y^2
simplify
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Answer 1

Answer:

You can simplify the given rational expression (algebraic fraction) by first factoring both the numerator and/or the denominator as much as possible and then cancelling out those factors which are common between the numerator and the denominator.

Since x² - 4x factors to x(x = 4) and x² - 2x - 8 factors to (x + 2)(x - 4), we can rewrite the original expression as follows:

(x² - 4x)/(x² - 2x - 8) = [x(x - 4)]/[(x + 2)(x - 4)]

The binomial x - 4 is a common factor between the numerator and the denominator and therefore they cancel each other out, leaving the following result:

= x(1)/(x + 2)(1)

= x/(x + 2) is the final simplification of the original, given rational expression.

Note: x ≠ -2 in the expression; otherwise, you have division by zero which is meaningless and undefined

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

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