Question

Factorise the given sum​

Answer 1

Answer:

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

Your answer.

Answer 2

Answer:

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

Step-by-step explanation:

x²-y²-2yz-z²

=x²-(y²+2yz+z²)

=x²-(y+z)²(Since: (y+z)²=y²+2yz+z²)

USING a²-b²=(a+b)(a-b)

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