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Simplify the expression completely if possible.

(6x^(2)+42 x)/(18x^(2))
Answer:

Simplify the expression completely if possible.\newline6x2+42x18x2 \frac{6 x^{2}+42 x}{18 x^{2}} \newlineAnswer:

Full solution

Q. Simplify the expression completely if possible.\newline6x2+42x18x2 \frac{6 x^{2}+42 x}{18 x^{2}} \newlineAnswer:
  1. Factor out common terms: Factor out the common terms in the numerator.\newlineWe can factor out a 6x6x from the numerator to get 6x(x+7)6x(x + 7).
  2. Simplify by division: Simplify the fraction by dividing both the numerator and the denominator by the common term.\newlineSince 6x6x is a common term in both the numerator and the denominator, we can divide both by 6x6x to simplify the expression.\newline6x(x+7)18x2=x+73x\frac{6x(x + 7)}{18x^2} = \frac{x + 7}{3x}
  3. Check for further simplifications: Check for any further simplifications. There are no common factors remaining between the numerator and the denominator, and no further simplification is possible.
  4. Write final expression: Write the final simplified expression.\newlineThe simplified expression is (x+7)/(3x)(x + 7)/(3x).

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