Question

resolver multiplicaciones ​

Answer 1

Explicación paso a paso:

Resolver multiplicaciones:

5) $-\frac{3}{5} a^{3} b(\frac{1}{6}a^{2} b +\frac{10}{3}a^{3} b^{2} -\frac{5}{3} a^{2} b^{2})$

Resolvamos:

$-\frac{3}{5} a^{3} b(\frac{1}{6}a^{2} b +\frac{10}{3}a^{3} b^{2} -\frac{5}{3} a^{2} b^{2})\\\\(-\frac{3}{5} a^{3} b)(\frac{1}{6}a^{2} b ) + (-\frac{3}{5} a^{3} b)(\frac{10}{3}a^{3} b^{2}) + (-\frac{3}{5} a^{3} b)(-\frac{5}{3} a^{2} b^{2})\\\\-\frac{1}{10} a^{5}b^{2} - 2a^{6}b^{3} + a^{5}b^{3}$

Por lo tanto, el valor de la operación es $-\frac{1}{10} a^{5}b^{2} - 2a^{6}b^{3} + a^{5}b^{3}$

6) $\frac{1}{2} x^{2} y^{3} (\frac{2}{5} xy + \frac{3}{6}x^{2} -\frac{5}{3}x^{3} y^{2} )$

Resolvamos:

$\frac{1}{2} x^{2} y^{3} (\frac{2}{5} xy + \frac{3}{6}x^{2} -\frac{5}{3}x^{3} y^{2} )\\\\(\frac{1}{2} x^{2} y^{3})(\frac{2}{5} xy) +(\frac{1}{2} x^{2} y^{3})(\frac{3}{6}x^{2}) + (\frac{1}{2} x^{2} y^{3})(-\frac{5}{3}x^{3} y^{2}) \\\\\frac{1}{5} x^{3} y^{4} + \frac{1}{4} x^{4} y^{3} -\frac{5}{6} x^{5} y^{5}$

Por lo tanto, el valor de la operación es $\frac{1}{5} x^{3} y^{4} + \frac{1}{4} x^{4} y^{3} -\frac{5}{6} x^{5} y^{5}$