Question

factorise 4x2+y2+z2-4xy-2yz+4xz​

Answer 1

ur answer is the above pic

Answer 2

4x² + y² + z² - 4xy - 2yz + 4xz = (2x - y + z) (2x - y + z)

Given :

The expression 4x² + y² + z² - 4xy - 2yz + 4xz

To find :

To factorise the expression

Formula :

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

4x² + y² + z² - 4xy - 2yz + 4xz

Step 2 of 2 :

Factorise the expression

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

$\sf = {(2x)}^{2} + {( - y)}^{2} + {z}^{2} + 2.2x.( - y) + 2.( - y).z + 2.2x.z$

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

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

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