Question

(x-2y)²-6(x-2y)+5
factorise it​

Answer 1

Answer: ( 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.