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Mathematics

Factorize:

50a2 - 2(b - c)2

Factorisation

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Answer

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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