Question

Factorise: x2 - y2 – 2yz - z?​

Answer 1

Answer:

$to \: factorize \\ x {}^{2} - y {}^{2} - 2yz - z \\ (x) {}^{2} - (y + z) {}^{2} \\ (x + y + z)(x - y + z) \\ \\ \\ used \: identities : - \\ (a + b) {}^{2} = a {}^{2} + b {}^{2} + 2ab \\ (a - b) {}^{2} = a {}^{2} + b {}^{2} - 2ab \\ \\ (a) {}^{2} - (b) {}^{2} = (a + b)(a - b)$

Answer 2

Step-by-step explanation:

tofactorize

x

2

−y

2

−2yz−z

(x)

2

−(y+z)

2

(x+y+z)(x−y+z)

usedidentities:−

(a+b)

2

=a

2

+b

2

+2ab

(a−b)

2

=a

2

+b

2

−2ab

(a)

2

−(b)

2

=(a+b)(a−b)