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What is the fastest way to calculate $98^2 - 2^2$ ?

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Evaluate numerical expressions involving exponents

Full solution

Q. What is the fastest way to calculate

98^2 - 2^2

?

Apply formula: We can use the difference of squares formula, which states that $a^2 - b^2 = (a + b)(a - b)$ , where $a$ and $b$ are any real numbers. Here, $a$ is $98$ and $b$ is $2$ .
Use formula: Apply the difference of squares formula to $98^2 - 2^2$ to get $(98 + 2)(98 - 2)$ .
Calculate sums and differences: Calculate the sums and differences inside the parentheses: $98 + 2 = 100$ and $98 - 2 = 96$ .
Multiply results: Multiply the results from the previous step: $100 \times 96$ .
Perform final multiplication: Perform the multiplication to find the final answer: $100 \times 96 = 9600$ .

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