1 Answer

Jlaur · Answer 1 · 2021-02-13T12:32:10+0000

Answer:

$\boxed{\sf (x + y)(6x + 5y)}$

Explanation:

Factor the following:

$\sf \implies 6 {x}^(2) + 11xy + 5 {y}^(2)$

The coefficient of x² is 6 and the coefficient of y² is 5. The product of 6 and 5 is 30. The factors of 30 which sum to 11 are 5 and 6.

So,

$\sf \implies 6 {x}^(2) + (6 + 5)xy + 5 {y}^(2)$

$\sf \implies 6 {x}^(2) + 6xy + 5xy + 5 {y}^(2)$

$\sf \implies 6x(x + y) + 5y(x + y)$

Factor (x + y) from 6x(x + y) + 5y(x + y):

$\sf \implies (x + y)(6x + 5y)$

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