factorise it by step by step 4(x-y)^2-12(x-y)+9
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Given 4(x - y)2-12(x - y) + 9
⇒ 4( x - y)2- 6( x - y ) - 6(x - y) + 9
⇒ 2( x -y) [ 2( x -y) - 3] - 3[ 2( x -y) - 3].
⇒ [ 2( x -y) - 3][ 2( x -y) - 3]
⇒ (2x - 2y - 3)2 .
⇒ 4( x - y)2- 6( x - y ) - 6(x - y) + 9
⇒ 2( x -y) [ 2( x -y) - 3] - 3[ 2( x -y) - 3].
⇒ [ 2( x -y) - 3][ 2( x -y) - 3]
⇒ (2x - 2y - 3)2 .
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