Factorise a2 - b2 - 4ac + 4c2
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Step-by-step explanation:
Given : a
2
−b
2
−4ac+4c
2
We can write it as
a
2
−b
2
−4ac+4c
2
=a
2
−4ac+4c
2
−b
2
So we get
a
2
−b
2
−4ac+4c
2
=a
2
−2×a×2x+2c
2
−b
2
a
2
−b
2
−4ac+4c
2
=(a−2c)
2
−b
2
Based on the equation a
2
−b
2
=(a+b)(a−b)
We get,
a
2
−b
2
−4ac+4c
2
=(a−2c+b)(a−2c−b)
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