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Simplify the expression. State the excluded values, if any. w^2+6w+9/2w^2-18

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anya4one | Student, Undergraduate | (Level 2) Honors

Posted July 21, 2013 at 4:32 PM via web

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Simplify the expression. State the excluded values, if any.

w^2+6w+9/2w^2-18

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llltkl | College Teacher | (Level 3) Valedictorian

Posted July 21, 2013 at 4:56 PM (Answer #1)

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`(w^2+6w+9)/(2w^2-18)`

`=(w^2+2*3*w+3^2)/(2(w^2-3^2))`

`=(w+3)^2/(2(w-3)(w+3))`

`=(w+3)/(2(w-3))` (assuming `w!=-3` )

Again, w=3 would make the denominator equal to zero, and the expression, undefined.

Hence, excluded values of w in this expression are `+-3` .

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