SOLUTION: Perform the indicated operation and expression lowest terms. <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com/albums/j300/q43000gt/7q3g2.gif

Algebra ->  Algebra  -> Expressions-with-variables -> SOLUTION: Perform the indicated operation and expression lowest terms. <a href="http://photobucket.com" target="_blank"><img src="http://i83.photobucket.com/albums/j300/q43000gt/7q3g2.gif      Log On

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Question 46976: Perform the indicated operation and expression lowest terms.
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Answer by gsmani_iyer(178) About Me  (Show Source):
You can put this solution on YOUR website!

%28z%5E2%2B8z%2B12%29%2F%28z%5E2%2B9z%2B14%29 divided by %28z%5E2%2B6z%29%2F%28z%5E2%2B11z%2B28%29

= %28%28z%5E2%2B8z%2B12%29%2F%28z%5E2%2B9z%2B14%29%29%28%28z%5E2%2B11z%2B28%29%2F%28z%5E2%2B6z%29%29 ..... ...dividend to be multiplied by the multiplicative inverse of the divisor. Now both the denominators & numerators are to be factorised first.

= %28highlight%28%28z%5E2%2B8z%2B12%29%29%2Fhighlight%28%28z%5E2%2B9z%2B14%29%29%29%28highlight%28%28z%5E2%2B11z%2B28%29%29%2Fhighlight%28%28z%5E2%2B6z%29%29%29 = %28%28z%2B6%29%28z%2B2%29%2F%28z%2B7%29%28z%2B2%29%29%28%28z%2B7%29%28z%2B4%29%2Fz%28z%2B6%29%29

= %28cross%28%28z%2B6%29%29cross%28%28z%2B2%29%29%2Fcross%28%28z%2B7%29%29cross%28%28z%2B2%29%29%29%28cross%28%28z%2B7%29%29%28z%2B4%29%2Fcross%28%28z%2B6%29%29z%29

= %28z%2B4%29%2Fz Answer.

I hope this is clear to you.

gsm.