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Perform the following operation and express in simplest form. (x+2)/(6x+30)*(x^(2)+11 x+30)/(x^(2)+8x+12) Answer:

Perform the following operation and express in simplest form.\newlinex+26x+30⋅x2+11x+30x2+8x+12 \frac{x+2}{6 x+30} \cdot \frac{x^{2}+11 x+30}{x^{2}+8 x+12} \newlineAnswer:

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Full solution

Q. Perform the following operation and express in simplest form.\newlinex+26x+30⋅x2+11x+30x2+8x+12 \frac{x+2}{6 x+30} \cdot \frac{x^{2}+11 x+30}{x^{2}+8 x+12} \newlineAnswer:
  1. Factor Polynomials: First, factor all the polynomials in the numerator and the denominator where possible.
  2. Cancel Common Terms: Next, cancel out the common terms in the numerator and the denominator.
  3. Multiply Remaining Terms: Multiply the remaining terms.

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