Question

factorize it -
x2-y2-z2+2yz+x+y-z=

Answer 1

Make perfect square out of y and z .
See attached file .
Hope you understand my writing !

Answer 2

Answer:

Factors

Factorsx²-y²-z²+2yz+x+y-z

Factorsx²-y²-z²+2yz+x+y-z = (x+y-z)(x-y+z)

Step-by-step explanation:

Factorisation of

x²-y²-z²+2yz+x+y-z

= x²-(y²+z²-2yz)+(x+y-z)

= [x²-(y-z)²]+(x+y-z)

/* By algebraic identity:

a²+b²-2ab = (a-b)² */

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

/* By algebraic identity:

a²-b² = (a+b)(a-b) */

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

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

Therefore,

Factors

Factorsx²-y²-z²+2yz+x+y-z

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

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