factorisation
25a2-4b2+28bc-49c2
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25a2 – 4b2 + 28bc – 49c2
= (5a)2 – (4b2 – 28bc + 49c2)
= (5a)2 – {(2b)2 – 2(2b)(7c) + (7c)2}
using formula x2 – 2xy + y2 =(x – y)2 where x=2b ,y=7c
= (5a)2 – (2b – 7c)2 = (5a – 2b + 7c)(5a + 2b – 7c)
using formula x2 – y2 = (x– y) (x + y) where x=5a and y=2b-7c
Answer = (5a – 2b + 7c)(5a + 2b – 7c)
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