Question

factories the following expression:- x2+4y2+z2+4xy-2xz-4yz​

Answer 1

SOLUTION

TO FACTORISE

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

FORMULA TO BE IMPLEMENTED

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

EVALUATION

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

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

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

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Answer 2

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

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