factorise (a) 7 (x-2y)^2 - 25 (x-2y)+12 (b) 9 (2a-b)^2 - 4 (2a-b) - 13 (c) (x^2- 2x)^2 -23 (x^2-2x)+120

9(2a-b)2 - 4(2a-b) - 13
= 9(2a-b)2 + 9(2a-b) - 13(2a-b) - 13
= 9(2a-b){(2a-b) + 1} - 13{(2a-b) + 1}
= {9(2a-b) - 13}{(2a-b) + 1}

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7 (x-2y)2 - 25(x-2y) + 12
= 7(x-2y)2 - 28(x-2y) + 3(x-2y)+ 12
= 7(x-2y) {(x-2y - 4)} + 3 {(x-2y) + 4)}
= {7(x-2y) + 3} (x-2y - 4)  or (7x-14y + 3) (x-2y - 4)
 
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(x2 - 2x)2 - 23(x2 - 2x) + 120
= (x2 - 2x)2 - 18(x2 - 2x) - 5(x2 - 2x) + 120
= (x2 - 2x){(x2 - 2x) - 18} - 5{(x2 - 2x) - 18}
= (x2 - 2x - 5)(x2 - 2x - 18)
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