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The value of (25.7322−15.7322)(25.732^{2} - 15.732^{2}) is

Solution

✅ Correct Option: 3

Using a2−b2=(a+b)(a−b)a^2 - b^2 = (a+b)(a-b):

=(25.732+15.732)(25.732−15.732)= (25.732 + 15.732)(25.732 - 15.732)

=41.464×10= 41.464 × 10

=414.64= 414.64

Therefore, 25.7322−15.7322=414.6425.732^2 - 15.732^2 = 414.64

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