Question

Resolve the quadratic trinomials into factors:

15x² – 16xyz – 15y²z²

Answer 1

We have,

15x² – 16xyz – 15y²z²

The coefficient of x² is 15

The coefficient of x is -16yz

Constant term is -15y²z²

So, we express the middle term -16xyz as -25xyz + 9xyz

15x² -16xyz- 15y²z² = 15x² – 25yz + 9yz – 15y²z²

= 5x (3x – 5yz) + 3yz (3x – 5yz)

= (5x + 3yz) (3x – 5yz)