Question

factorise the following
2x³+54y³-4x-12y​

Answer 1

Answer:

2(x + 3y)(x² - 3xy + 9y² - 4)

Step-by-step explanation:

2x³ + 54y³ - 4x - 12y

= 2(x³ + 27y³) - 4(x + 3y)

a³ + b³ = (a + b)(a² - ab + b²)

= 2(x + 3y)(x² - 3xy + 9y²) - 4(x + 3y)

= (x + 3y)[2(x² - 3xy + 9y²) - 4]

= 2(x + 3y)(x² - 3xy + 9y² - 4)

Hope this helps! :)