Question

factorize 27 (x+ y)^3 +8(2x - y)^3​

Answer 1

Answer:

$91 {x}^{3} + 19 {y}^{3} - 15 {x}^{2} y + 33x {y}^{2}$

Step-by-step explanation:

=>$27( {x}^{3} + {y}^{3} + 3x {y}^{2} + 3 {x}^{2} y) + 8(8 {x}^{3} - {y}^{3} - 12 {x}^{2} - 6x {y}^{2} )$

=>

$27 {x}^{3} + 27 {y}^{3} + 81x {y}^{2} + 81 {x}^{2} y + 64 {x}^{3} - 8 {y}^{3} - 96 {x}^{2} y - 48x {y}^{2}$

=> add the like terms

=>

$91 {x}^{3} + 19 {y}^{3} - 15 {x}^{2} y + 33x {y}^{2}$