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Factorize 204^2 - 4^2 without solving

User Erina
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2 Answers

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204^2 - 4^2 = (204 + 4)(204 - 4) = 208 * 200 = 41,600

User Siarhei
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2 votes

Answer:

Using the difference of squares formula, 204^2 - 4^2 can be factored as 208 × 200.

Explanation:

We can use the difference of squares formula, which states that:

a^2 - b^2 = (a + b)(a - b)

In this case, a = 204 and b = 4, so we can write:

204^2 - 4^2 = (204 + 4)(204 - 4) = 208 × 200

Therefore, we have factored 204^2 - 4^2 as the product of two integers, 208 and 200, without actually solving for the values of the squares.

User JerryKur
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