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