Factorize : x2 – y2 – z2 + 2yz + x + y – z.
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Answered by
5
Answer:
There is a formula to solve this
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Answered by
8
Answer:
Factors
Factorsx²-y²-z²+2yz+x+y-z
Factorsx²-y²-z²+2yz+x+y-z = (x+y-z)(x-y+z)
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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