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alves. (3x^(2)+6x)/(9x^(2))

alves.\newline3x2+6x9x2 \frac{3 x^{2}+6 x}{9 x^{2}}

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Full solution

Q. alves.\newline3x2+6x9x2 \frac{3 x^{2}+6 x}{9 x^{2}}
  1. Factor out common term: Factor out the common term in the numerator.\newline(3x2+6x)/(9x2)=3x(x+2)/(9x2)(3x^{2}+6x)/(9x^{2}) = 3x(x+2)/(9x^{2})
  2. Simplify fraction: Simplify the fraction by canceling out common factors. 3x(x+2)9x2=x+23x\frac{3x(x+2)}{9x^{2}} = \frac{x+2}{3x}
  3. Check for simplification: Check for any further simplification.\newlineNo further simplification is possible.

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