Question

factorise 8x³ + 27y²+36x²y +54xy²​

Answer 1

Step-by-step explanation:

$8 {x}^{3} + 27 {y}^{3} + 36 {x}^{2} y + 54x {y}^{2} \\ = {(2x)}^{3} + 3. {(2x)}^{2}.3y + 3.2x. {(3y)}^{2} + {(3y)}^{3} \\ = {a}^{3} + 3 {a}^{2}b + 3 a{b}^{2} + {b}^{3} \\ = {(a + b)}^{3} \\ = {(2x + 3y)}^{3} \\ = (2x + 3y)(2x + 3y)(2x + 3y)$