кароли
кароли
24-03-2017
Mathematics
contestada
How do I simplify this?
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jdoe0001
jdoe0001
24-03-2017
[tex]\bf \cfrac{x^3+6x^2+3x+18}{3x^2+9}\div \cfrac{x+6}{x+1}\\\\ -----------------------------\\\\ (x^3+6x^2)+(3x+18)\implies x^2\underline{(x+6)}+3\underline{(x+6)}\leftarrow \textit{common \underline{factor}} \\\\\\ (x+6)(x^2+3)\\\\ -----------------------------\\\\ thus\\\\\\ \cfrac{(x+6)(x^2+3)}{3(x^2+3)}\div \cfrac{x+6}{x+1}\implies \cfrac{(x+6)(x^2+3)}{3(x^2+3)}\cdot \cfrac{x+1}{x+6} \\\\\\ \cfrac{x+1}{3}[/tex]
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