Question

Calcula este binomio (2a -3b)3

 * 8a^3 - 36a^2b +54ab^2 - 27b^3

8a^3 -63a^2b +54ab^2 -27b^3

-8a^3 -63a^2b +54ab^2 -27b^3 ​

Answer 1

Respuesta:

Hola, ahí va la respuesta!

Solución !

${(2a - 3b)}^{3}$

$(2a - 3b)( {(2a})^{2} - 2.2a .3b + {(3b)}^{2} )$

$(2a - 3b)( {4a}^{2} - 12ab + {9b}^{2} )$

$2a( {4a}^{2} - 12ab + {9b}^{2} ) - 3b(4 {a}^{2} - 12ab + {9b}^{2} )$

${8a}^{3} - 24 {a}^{2} b + 18a {b}^{2} - 12b {a}^{2} + 36 {b}^{2} a - 27b {}^{3}$

${8a}^{3} + ( - 24 {a}^{2} b - 12 {a}^{2} b) + (18a {b}^{2} + 36a {b}^{2} ) - {27b}^{3}$

$= {8a}^{3} - 36 {a}^{2} b + 54a {b}^{2} - {27b}^{3}$

Saludos