Question

x³+9y³+(x+y)³ factorize pls​

Answer 1

Answer:

2(x + 2y) (x^2 + 9y^2 + 4xy)

Step-by-step explanation:

x³+9y³+(x+y)³

= x³ + (3y)³ + (x + y)³

= (x + 3y)³ + (x + y)³

We will use this identity :-

a^3 + b^3 = (a + b) (a^2 - ab + b^2)

Here, a = (x + 3y) & b = (x+y)

= [x + 3y + x + y] [x^2 + 9y^2 + 6xy + x^2 + y^2 + 2xy - x^2 - xy - 3xy - y^2]

= (2x + 4y) (x^2 + 9y^2 + 4xy)

= 2(x + 2y) (x^2 + 9y^2 + 4xy)