factorise (x-2y)^2-6(x-2y)+5
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Answered by
74
Good Evening Student,
( x -2y )² - 6( x - 2y ) + 5
Let us suppose ( x - 2y ) = a
So the poly. goes like,
a² - 6a + 5
a² - a - 5a + 5
a ( a - 1 ) - 5 ( a - 1 )
( a - 1 ) ( a - 5 ) ---(i)
Now substitute the value of a (x - 2y) in (i)
( x - 2y - 1 ) ( x - 2y - 5 )
Hence, given poly. is Factorized.
Let me know if you have doubts especially regarding Physics, Chemistry or Maths.
( x -2y )² - 6( x - 2y ) + 5
Let us suppose ( x - 2y ) = a
So the poly. goes like,
a² - 6a + 5
a² - a - 5a + 5
a ( a - 1 ) - 5 ( a - 1 )
( a - 1 ) ( a - 5 ) ---(i)
Now substitute the value of a (x - 2y) in (i)
( x - 2y - 1 ) ( x - 2y - 5 )
Hence, given poly. is Factorized.
Let me know if you have doubts especially regarding Physics, Chemistry or Maths.
Answered by
21
Answer:
Step-by-step explanation:
Good Evening Student,
( x -2y )² - 6( x - 2y ) + 5
Let us suppose ( x - 2y ) = a
So the poly. goes like,
a² - 6a + 5
a² - a - 5a + 5
a ( a - 1 ) - 5 ( a - 1 )
( a - 1 ) ( a - 5 ) ---(i)
Now substitute the value of a (x - 2y) in (i)
( x - 2y - 1 ) ( x - 2y - 5 )
Hence, given poly. is Factorized.
Let me know if you have doubts especially regarding Physics, Chemistry or Maths.
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