1.

`{:("Column" A ,, "Column" B), (225x^(2) - 625 y^(2) = ,, (a) 25(x-2) (x-2)), (x^(2) - x - y - y^(2) = ,, (b) 25(3x- 5y) (3x + 5y)), (x^(2) - x - y^(2) + y = ,, (x + y) (x - y- 1)), (25x^(2) - 100 x + 100 = ,, (d) (x - y) (x + y -1)), (,,(e) (x + y) (x + y - 1)):}`

Answer» Correct Answer - A::B::C::D
`to` (b) : `225 x^(2) - 625 y^(2) = (15x)^(2) - (25y)^(2)`
= (15x + 25y) (15x - 25y)
=`25 (3x + 5y) (3x - 5y)`
`to` (c) : `x^(2) - x- y - y^(2) = (x^(2) - y^(2)) - x- y`
= `(x + y) (x-y) - 1(x+y)`
`= (x + y) (x-y-1)`
`to` (d) : `x^(2) - x - y^(2) + y = x^(2) - y^(2) - x + y =`
`= (x + y) (x - y) - (x-y)`
= `(x-y) ( x+ y -1)`
`to` (a) : `(5x)^(2) - 2(5x)(10) + (10)^(2) = (5x - 10)^(2)`
`= 25 (x -2)(x-2) `


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