(x2-2xy+y2)-z2 how should i solve it
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hello Frnd
here is your answer
Given as
![( {x}^{2} - 2xy + {y}^{2} ) - {z}^{2} \\ \\ > > {(x - y)}^{2} - {z}^{2} \\ \\ > > ((x - y) + z)((x - y) - z) \\ > > (x - y + z)(x - y - z) \\ {x}^{2} - xy - xz - xy + {y}^{2} + yz + xz - zy - {z}^{2}<br /><br /> \\ \\ \\ \\ \\ \\ hope \: it \: helps \: ( {x}^{2} - 2xy + {y}^{2} ) - {z}^{2} \\ \\ > > {(x - y)}^{2} - {z}^{2} \\ \\ > > ((x - y) + z)((x - y) - z) \\ > > (x - y + z)(x - y - z) \\ {x}^{2} - xy - xz - xy + {y}^{2} + yz + xz - zy - {z}^{2}<br /><br /> \\ \\ \\ \\ \\ \\ hope \: it \: helps \:](https://tex.z-dn.net/?f=%28+%7Bx%7D%5E%7B2%7D+-+2xy+%2B+%7By%7D%5E%7B2%7D+%29+-+%7Bz%7D%5E%7B2%7D+%5C%5C+%5C%5C+%26gt%3B+%26gt%3B+%7B%28x+-+y%29%7D%5E%7B2%7D+-+%7Bz%7D%5E%7B2%7D+%5C%5C+%5C%5C+%26gt%3B+%26gt%3B+%28%28x+-+y%29+%2B+z%29%28%28x+-+y%29+-+z%29+%5C%5C+%26gt%3B+%26gt%3B+%28x+-+y+%2B+z%29%28x+-+y+-+z%29+%5C%5C+%7Bx%7D%5E%7B2%7D+-+xy+-+xz+-+xy+%2B+%7By%7D%5E%7B2%7D+%2B+yz+%2B+xz+-+zy+-+%7Bz%7D%5E%7B2%7D%3Cbr+%2F%3E%3Cbr+%2F%3E+%5C%5C+%5C%5C+%5C%5C+%5C%5C+%5C%5C+%5C%5C+hope+%5C%3A+it+%5C%3A+helps+%5C%3A+)
here is your answer
Given as
Answered by
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Answer:
( x- y + z ) ( x- y- z)
Step-by-step explanation:
( x2 - xy - xy + y2 ) - z2
( x(x-y) - y ( x-y ) ) -z2
( ( x-y ) ( x-y) ) - z2
( x- y2) - z2
x- y + z ) ( x- y- z)
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