Question

Factorise :- ${x }^{2} - {y }^{2} - {z }^{2} + 2yz$
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Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

(x + y - z)(x - y + z)

Step-by-step explanation:

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