Question

factorise 2x3+54y3-4x-12y​

Answer 1

Hey mate here's your answer

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(((2 • (x3)) + (2•33y3)) - 4x) - 12y

Step 2 :

Equation at the end of step 2 :

((2x3 + (2•33y3)) - 4x) - 12y

Step 3 :

Step 4 :

Pulling out like terms :

4.1 Pull out like factors :

2x3 - 4x + 54y3 - 12y =

2 • (x3 - 2x + 27y3 - 6y)

Checking for a perfect cube :

4.2 x3 - 2x + 27y3 - 6y is not a perfect cube

Final result :

2 • (x3 - 2x + 27y3 - 6y)

Answer 2

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! :)