Math, asked by perfect61, 1 year ago

Factorize : 4x² + y² + z² -4xy -2yz +4xz.

Answers

Answered by Panzer786
52
Heya !!




We have :

4X² + Y² + Z² - 4XY - 2YZ + 4XZ.




=> ( 2X)² + (-Y)² + (Z)² + 2 × (2X ) ( -Y ) + 2 ( -Y ) (Z ) + 2(2X ) ( Z ).




=> [ 2X + (-Y ) + Z ]²





=> (2X - Y + Z )² . [ Answer ]
Answered by Anonymous
25
Hey user !!

So here's u r answer !!

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↪( 2 x )^2 + (- y ) ^2 + ( z )^2 + 2 ( 2x ) ( - y ) - 2 ( - y ) ( - z ) + 2 ( 2 x ) ( z )

↪[ 2 x + ( - y ) + z ] ^2

↪[ 2 x - y + z ] ^2

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