Factorise 3-12(a-b)2
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3 ( 1 - 2a + 2b ) ( 1 + 2a - 2b )
Step-by-step explanation:
3 - 12(a - b)²
= 3 [ 1 - 4(a - b)² ] [ common factor 3 ]
= 3 ( 1² - (2(a - b) )² )
= 3 ( 1 - 2(a - b) ) ( 1 + 2(a - b) ) [ difference of squares ]
= 3 ( 1 - 2a + 2b ) ( 1 + 2a - 2b )
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