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Evaluate (502)2 – (498)2 using suitable identity.

Question

Evaluate (502)2 – (498)2 using suitable identity.

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Solution

Sure, we can use the identity (a+b)(a-b) = a^2 - b^2 to simplify the expression.

Step 1: Identify a and b such that the expression becomes a^2 - b^2. Here, a = 502 and b = 498.

Step 2: Substitute a and b into the identity (a+b)(a-b) = a^2 - b^2. This gives us (502 + 498)(502 - 498).

Step 3: Simplify the expression. (502 + 498) = 1000 and (502 - 498) = 4.

Step 4: Multiply the results together. 1000 * 4 = 4000.

So, (502)^2 - (498)^2 = 4000.

This problem has been solved

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