Factorize:
50a2 - 2(b - c)2
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Given,
⇒ 50a2 - 2(b - c)2
⇒ 2[25a2 - (b - c)2]
⇒ 2[(5a)2 - (b - c)2]
⇒ 2[5a + (b - c)] [5a - (b - c)]
⇒ 2(5a + b - c)(5a - b + c).
Hence, 50a2 - 2(b - c)2 = 2(5a + b - c)(5a - b + c).
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