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Mysterykrishu21
@Mysterykrishu21
December 2023
2
6
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(x+y)(x-y) + (y+z)(y-2) + (z + x) (z − x) + 7
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Mysteryboy01
Verified answer
Given :
[tex] = (x + y)(x - y) + (y + z) \\ (y - 2) + (z + x)(z - x) \\ + 7[/tex]
Solution Explanation :
[tex] = (x + y)(x - y) + (y + z) \\ (y - 2) + (z + x)(z - x) \\ + 7 \\ \\ = {x}^{2} - {y}^{2} + y(y - 2) \\ + z(y - 2) + {z}^{2} - {x}^{2} + 7 \\ \\ = {x}^{2} - {y}^{2} + {y}^{2} - 2y + zy \\ - 2z + {z}^{2} - {x}^{2} + 7 \\ \\ = {\cancel{ {x}^{2} }} - {\cancel{ {x}^{2} }} - {\cancel{ {y}^{2} }} + {\cancel{ {y}^{2} }} - 2y \\ - 2z + {z}^{2} + 7 \\ \\ = - 2y - 2z + {z}^{2} + 7[/tex]
3 votes
Thanks 2
XxitzMichAditixX
Question:-
➦ (x+y)(x-y) + (y+z)(y-2) + (z + x) (z − x) + 7
Correct answer:-
➦ Refer to the below mentioned attachments...!!! :)
Thnkuuu...!!! :)
hope it helps...!!! ♡
#ItzzMichhAditi
0 votes
Thanks 1
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Answers & Comments
Verified answer
Given :
[tex] = (x + y)(x - y) + (y + z) \\ (y - 2) + (z + x)(z - x) \\ + 7[/tex]
Solution Explanation :
[tex] = (x + y)(x - y) + (y + z) \\ (y - 2) + (z + x)(z - x) \\ + 7 \\ \\ = {x}^{2} - {y}^{2} + y(y - 2) \\ + z(y - 2) + {z}^{2} - {x}^{2} + 7 \\ \\ = {x}^{2} - {y}^{2} + {y}^{2} - 2y + zy \\ - 2z + {z}^{2} - {x}^{2} + 7 \\ \\ = {\cancel{ {x}^{2} }} - {\cancel{ {x}^{2} }} - {\cancel{ {y}^{2} }} + {\cancel{ {y}^{2} }} - 2y \\ - 2z + {z}^{2} + 7 \\ \\ = - 2y - 2z + {z}^{2} + 7[/tex]
Question:-
➦ (x+y)(x-y) + (y+z)(y-2) + (z + x) (z − x) + 7
Correct answer:-
➦ Refer to the below mentioned attachments...!!! :)
Thnkuuu...!!! :)
hope it helps...!!! ♡
#ItzzMichhAditi