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factories 2 - 50x^2​

1 Answer

5 votes

Answer:

2[(1 + 5x) (1 - 5x)]

Explanation:

Given:

Expression

2 - 50x²

Find:

Factorization of the given expression

Computation:

2 - 50x²

By taking 2 as common

⇒ 2[1 - 25x²]

⇒ 2[(1)² - (5x)²]

We know that;

⇒ a² - b² = (a + b)(a - b)

In given expression;

⇒ a = 1

⇒ b = 5x

⇒ 2[(1)² - (5x)²]

2[(1 + 5x) (1 - 5x)]

Factorization of the given expression

2[(1 + 5x) (1 - 5x)]

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