Question

Factorise : x2 + 9y2 + 4z2 + 6xy - 12yz - 4xz ​

Answer 1

Answer:

( x + 3y + 2z)²

Step-by-step explanation:

= x² + 9y² + 4z² + 6xy - 12yz - 4xz

= (x)² + (3y) ² + (2z) ² + 2( 3xy - 6yz + 2xz )

= ( x + 3y + 2z )²

Answer 2

SOLUTION

TO FACTORISE

$\sf{ {x}^{2} + 9 {y}^{2} + 4 {z}^{2} + 6xy - 12yz - 4xz }$

EVALUATION

$\sf{ {x}^{2} + 9 {y}^{2} + 4 {z}^{2} + 6xy - 12yz - 4xz }$

$\sf{ = {x}^{2} + {(3y)}^{2} + {(2z)}^{2} + 2.x.3y + 2.3y.( - 2z) + 2.x.( - 2z) }$

$\sf{ = {x}^{2} + {(3y)}^{2} + {( - 2z)}^{2} + 2.x.3y + 2.3y.( - 2z) + 2.x.( - 2z) }$

$\sf{ = {(x + 3y - 2z)}^{2} }$

$\sf{ = (x + 3y - 2z)(x + 3y - 2z)}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ find the equation that formed by increasing each root of 2x²-3x-1=0by 1

https://brainly.in/question/33063519

2. find the equation that formed by squaring each root of the equation x²+3x-2=0

https://brainly.in/question/33064705