Resolve the quadratic trinomials into factors:12x2 – 17xy + 6y2

1.	Resolve the quadratic trinomials into factors:12x2 – 17xy + 6y2
Answer» We have, 12x² – 17xy + 6y² The coefficient of x² is 12 The coefficient of x is -17y Constant term is 6y² So, we express the middle term -17xy as -9xy – 8xy 12x² -17xy+ 6y² = 12x² – 9xy – 8xy + 6y² = 3x (4x – 3y) – 2y (4x – 3y) = (3x – 2y) (4x – 3y)

Answer»

We have,

12x² – 17xy + 6y²

The coefficient of x² is 12

The coefficient of x is -17y

Constant term is 6y²

So, we express the middle term -17xy as -9xy – 8xy

12x² -17xy+ 6y² = 12x² – 9xy – 8xy + 6y²

= 3x (4x – 3y) – 2y (4x – 3y)

= (3x – 2y) (4x – 3y)

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