Math, asked by sasmalm56, 4 months ago

x+y=2y and b² =ac the proved a^y-z b^z-y c^x-y​

Answers

Answered by Jiyaa021
4

Answer:

Hay friend !!!!!

Step-by-step explanation:

Hi ,

x + z = 2y-----( 1 )

x - y = y - z -----( 2 )

b² = ac -------( 3 )

LHS= a^( y-z ) ×b^(z - x ) × c^( x - y )

= a^( x - y ) × b^( z - x ) × c^( x- y )

[from ( 2 ) ]

= ( ac )^( x - y ) × b^( z - x )

= ( b² )^( x - y ) × b^ ( z - x )

[ From ( 3 ) ]

= b ^ ( 2x - 2y ) × b^( z - x )

= b^ ( 2x - 2y + z - x )

= b ^ ( x + z - 2y )

= b ^ ( 2y - 2y )  

[ From ( 1 ) ]

= b^0

= 1  

= RHS  

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Answered by armyforever01
4

Step-by-step explanation:

Hope it helps you :-)

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