The factorization of $$x^2+ 11xy+24y^2$$​ is:

Correct option is B

Given:

$$x^2 + 11xy + 24y^2$$​​

Solution:

$$x^2 + 11xy + 24y^2\\ \ \\ = x^2 + 8xy + 3xy + 24y^2$$​

​$$=(x^2 + 8xy) + (3xy + 24y^2)$$​​

​$$=x(x + 8y) + 3y(x + 8y)$$

$$=(x + 8y)(x + 3y)$$​​