Resolve the quadratic trinomials into factors:14x2 + 11xy – 15y2

1.	Resolve the quadratic trinomials into factors:14x2 + 11xy – 15y2
Answer» We have, 14x² + 11xy – 15y² The coefficient of x² is 14 The coefficient of x is 11y Constant term is -15y² So, we express the middle term 11xy as 21xy – 10xy 14x² + 11xy- 15y² = 14x² + 21xy – 10xy – 15y² = 2x (7x – 5y) + 3y (7x – 5y) = (2x + 3y) (7x – 5y)

Answer»

We have,

14x² + 11xy – 15y²

The coefficient of x² is 14

The coefficient of x is 11y

Constant term is -15y²

So, we express the middle term 11xy as 21xy – 10xy

14x² + 11xy- 15y² = 14x² + 21xy – 10xy – 15y²

= 2x (7x – 5y) + 3y (7x – 5y)

= (2x + 3y) (7x – 5y)

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