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4-4x+x^2 -y^2simplify |
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Answer» 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: |
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