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Answer provided by our tutors
That problem has to be manually worked through, as follows:
identify c^2-b^2 by splitting the product -4(c^2-b^2) into two parts whose sum is 4b
so the factors of -4(c^2-b^2) that sum to 4b are "2a(b+c)" and "2a(b-c)"
-4a^2+4ba+(c^2-b^2)=-4a^2+2a(b+c)+2a(b-c)-(b-c)(b+c)
...factor pairs of terms by grouping:
(b+c)(2a-(b-c))-2a(2a-(b-c))
...pull out a common factor:
(2a-(b-c))(-2a+b+c)
...distribute the '-' into (b-c), giving:
(2a+c-b)(-2a+b+c)