Factor Trinomials
-$$6 x ^ { 2 } + 13 x y + 6 y ^ { 2 }$$

Name: Factor Trinomials -\[6 x ^ { 2 } + 13 x y + 6 y ^ { 2 }\]
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Question

Quizplus · Accepted Answer

To factor the trinomial $6x^2 + 13xy + 6y^2$, we look for two numbers that multiply to $6x^2 \cdot 6y^2 = 36x^2y^2$ and add to $13xy$. The numbers $9xy$ and $4xy$ work, since $9xy + 4xy = 13xy$ and $9xy \cdot 4xy = 36x^2y^2$. Rewriting the middle term $13xy$ as $9xy + 4xy$ and factoring by grouping gives us $(3x + 2y)(2x + 3y)$.

Factor Trinomials - 6x2+13xy+6y26 x ^ { 2 } + 13 x y + 6 y ^ { 2 }6x2+13xy+6y2

Factor Trinomials
- $6 x ^ { 2 } + 13 x y + 6 y ^ { 2 }$