x²+y²+2xy-z²(factorization)
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Step-by-step explanation:
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Step-by-step explanation:
Factorisation of x^2+y^2-z^2-2xyx
2
+y
2
−z
2
−2xy is (x-y+z)(x-y-z).
Step-by-step explanation:
We have to factorise,
x^2+y^2-z^2-2xyx
2
+y
2
−z
2
−2xy
= x^2+y^2-2xy-z^2\ [(a-b)^2 =a^2+b^2-2ab]
2
+y
2
−2xy−z
2
[(a−b)
2
=a
2
+b
2
−2ab]
= (x-y)^2-z^2\ [(a-b)(a+b)=a^2-b^2](x−y)
2
−z
2
[(a−b)(a+b)=a
2
−b
2
]
= (x-y+z)(x-y-z)
Hence,factorisation of x^2+y^2-z^2-2xyx
2
+y
2
−z
2
−2xy is (x-y+z)(x-y-z).
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