Question

3x2-y2+z2-2xy-4xz is factories$3x2 - y2 + z2 - 2xy - 4xz$

Answer 1

3x² - y² + z² - 2xy - 4xz

We can rearrange this expression like below,

= 3x²  - 2xy - y²+ z² - 4xz

= (3x²  - 2xy - y²) + z² - 4xz

= (3x + y) (x-y) + z(z-4x)

Answer 2

$3 {x}^{2} - {y}^{2} + {z}^{2} - 2xy - 4xz$

$3 {x}^{2} - 4xz + {z}^{2} - {y}^{2} - 2xy \\ \\ 3 {x}^{2} - 3xz - xz + {z}^{2} - {y}^{2} - 2xy \\ \\ 3x(x - z) -z (x - z) - y(y+2x) \\ \\ (x - z)(3x - z) - y(y+2x)$

it cannot factorise completely,partial factorisation is shown above.