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Simplify the expression  32x3y2z5−8xyz2.32𝑥3𝑦2𝑧5-8𝑥𝑦𝑧2. Assume that the denominator does not equal zero. Write any variables in alphabetical order.

Question

Simplify the expression  32x3y2z5−8xyz2.32𝑥3𝑦2𝑧5-8𝑥𝑦𝑧2. Assume that the denominator does not equal zero. Write any variables in alphabetical order.

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Solution

Claro, vamos a simplificar la expresión paso a paso.

La expresión dada es:

32x3y2z58xyz2 \frac{32x^3y^2z^5}{8xyz^2}

  1. Simplificar los coeficientes numéricos: 328=4 \frac{32}{8} = 4

  2. Simplificar las variables:

    • Para x x : x3x=x31=x2 \frac{x^3}{x} = x^{3-1} = x^2
    • Para y y : y2y=y21=y \frac{y^2}{y} = y^{2-1} = y
    • Para z z : z5z2=z52=z3 \frac{z^5}{z^2} = z^{5-2} = z^3
  3. Combinar los resultados: 4x2yz3 4 \cdot x^2 \cdot y \cdot z^3

Por lo tanto, la expresión simplificada es:

4x2yz3 4x^2yz^3

This problem has been solved

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