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Fully simplify the expression below and write your answer as a single fraction.

(9x^(2)+63 x+54)/(3x^(3)+39x^(2)+126 x)*(x^(2)+3x-28)/(x^(2)-3x-4)
Answer:

Fully simplify the expression below and write your answer as a single fraction.\newline9x2+63x+543x3+39x2+126xx2+3x28x23x4 \frac{9 x^{2}+63 x+54}{3 x^{3}+39 x^{2}+126 x} \cdot \frac{x^{2}+3 x-28}{x^{2}-3 x-4} \newlineAnswer:

Full solution

Q. Fully simplify the expression below and write your answer as a single fraction.\newline9x2+63x+543x3+39x2+126xx2+3x28x23x4 \frac{9 x^{2}+63 x+54}{3 x^{3}+39 x^{2}+126 x} \cdot \frac{x^{2}+3 x-28}{x^{2}-3 x-4} \newlineAnswer:
  1. Factor Polynomials: First, factor each polynomial in the numerator and the denominator where possible.
  2. Cancel Common Factors: Next, cancel out the common factors in the numerator and the denominator.
  3. Simplify Expression: Simplify the remaining expression.

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