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Simplify completely,
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\[\frac{ 2x^2+13x+20 }{ x^2-5x-36 }\]
factorise denominator and nominator
how?
\[\frac{ (2x+5)(x+4) }{ (x-9)(x+4) }\]
2x^2+9/x^2-36?
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No, cancel the x + 4 factor from the numerator and denominator.
what?
\[\frac{ (2x + 5)(x + 4) }{ (x - 9)(x + 4) }\] is the same as \[\frac{ (2x + 5) }{ (x - 9) } \times \frac{ (x + 4) }{ (x + 4) }\] and that last factor of (x + 4)/(x + 4) is "1". All with the usual restrictions, of course. And any number multiplied by 1 is the same number.
what do i do?
As mentioned before, cancel the x + 4 factor from the numerator and denominator. Last post shows you how.
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oh, that was easy, thanks!
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