factorise a square + b square + 2 Ab minus 4 c square
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Class 8
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>>Factorise : a^2 - b^2 - 4ac + 4c^2
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Factorise : a
2
−b
2
−4ac+4c
2
Medium
Solution
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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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