Question: "Simplify each of the complex fractions. (5x2)−(3x)(1y)+(2y2)."

EunoR

Answered question

2021-09-28

Simplify each of the complex fractions.

\frac{(\frac{5}{x^{2}}) - (\frac{3}{x})}{(\frac{1}{y}) + (\frac{2}{y^{2}})}

dessinemoie

Skilled2021-09-29Added 90 answers

\frac{(\frac{5}{x^{2}}) - (\frac{3}{x})}{(\frac{1}{y}) + (\frac{2}{y^{2}})} = \frac{\frac{5 x - 3}{x^{2}}}{\frac{y + 2}{y^{2}}}

= \frac{5 x - 3}{x^{2}} \times \frac{y^{2}}{y + 2}

= \frac{5 x y^{2} - 3 y^{2}}{x^{2} y + 2 x^{2}}

\frac{(\frac{5}{x^{2}}) - (\frac{3}{x})}{(\frac{1}{y}) + (\frac{2}{y^{2}})} = \frac{5 x^{2} - 3 y^{2}}{x^{2} y + 2 x^{2}}

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