Question

1/3x • (2/5x² + 1/2)

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Answer 1

Resposta:

x( 4x² + 5 )/30

Explicação passo-a-passo:

$\frac{1}{3}x\left(\frac{2}{5}x^2+\frac{1}{2}\right)\\=\frac{1\cdot \:x}{3}\left(\frac{2}{5}x^2+\frac{1}{2}\right)\\=\frac{x}{3}\left(\frac{2}{5}x^2+\frac{1}{2}\right)\\=\frac{x}{3}\left(\frac{2x^2}{5}+\frac{1}{2}\right)\\=\frac{x\left(\frac{2x^2}{5}+\frac{1}{2}\right)}{3}\\=\frac{\frac{4x^2+5}{10}x}{3}\\=\frac{\frac{x\left(4x^2+5\right)}{10}}{3}\\=\frac{\left(4x^2+5\right)x}{10\cdot \:3}\\=\frac{x\left(4x^2+5\right)}{30}$