Question

(-2/3x-3/5)(3/-2-10/3)

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Answer 1

\(\left(\frac{-2}{3x}-\frac{3}{5}\right)\left(\frac{3}{-2}-\frac{10}{3}\right)\)

\(=\left[-\left(\frac{2}{3x}+\frac{3}{5}\right)\right]\left[-\left(\frac{3}{2}+\frac{10}{3}\right)\right]\)

\(=\left(\frac{2}{3x}+\frac{3}{5}\right)\left(\frac{3}{2}+\frac{10}{3}\right)\)

\(=\left(\frac{10}{15x}+\frac{9x}{15x}\right)\left(\frac{9}{6}+\frac{20}{6}\right)\)

\(=\frac{10+9x}{15x}.\frac{9+20}{6}\)

\(=\frac{29.\left(10+9x\right)}{90}\)