Question

$\frac{8}{27}a {}^{6} - 64b {}^{9}$

ayudenme porfas gente ​

Answer 1

La pregunta tiene un concepto de productos notables

Diferencia de cubos

$(\frac{2}{3} a {}^{2} ) {}^{3} - (4b {}^{3} ) {}^{3}$

Aplicando la formula

$x {}^{3} - y {}^{3} = (x - y)(x {}^{2} + xy + y {}^{2} )$

Respuesta :

$( \frac{2}{3} a {}^{2} - 4b {}^{3} )( \frac{4}{9} a {}^{4} + \frac{8}{3}a {}^{2} b {}^{3} + 16b {}^{6} )$

Answer 2

Explicación paso a paso:

$\frac{8}{27}a {}^{6} - 64b {}^{9}$

aplicamos diferencia de cubos

$( \frac{2}{3}a {}^{2} - 4b {}^{3})(( \frac{2}{3}a {}^{2}) {}^{2} + ( \frac{2}{3} a^{2})(4b^{3}) + (4b^{3}) ^{2})$

Se resuelve

$( \frac{2}{3}a^{2} - 4b {}^{3} )( \frac{4}{9}a {}^{4} + \frac{8}{3}a^{2}b {}^{3} + 16b {}^{6})$