Question

x^2-y^2-2yz-z^2

factories it ​

Answer 1

Answer:

${x}^{2} - {y}^{2} - 2yz - {z}^{2} \\ usin g\: identity : \\ {a}^{2} + 2ab + {b}^{2} = {(a + b)}^{2} \\ where \: a = y \: \: \: and \: \: \: b = z \\ {x}^{2} - {(y + z)}^{2} \\ again \: using \: identity : \\ {a}^{2} - {b}^{2} = (a + b)(a - b) \\ where \: a = x \\ b = (y + z) \\ {x}^{2} - {(y + z)}^{2} \\ = (x - y - z)(x + y + z)$