Welcome to the sum and difference of two squares calculator. Here, you can easily get the sum of squares of two numbers, and the difference of squares of the two numbers.
What is the sum of squares of two numbers?
Just like its name, square the numbers and then added together. The expression for the sum of squares of two numbers is
a2 + b2
What is the difference of squares of two numbers?
Like the sum of squares of two numbers, square numbers first, then subtract them. The expression is as follows:
a2 – b2
For example, what are the sum and difference of squares of 8 and 15?
The sum of squares of 8 and 15 is
82 + 152 = 64 + 225 = 289
The difference of squares of 8 and 15 is
152 – 82 = 225 – 64 = 161
How to use the calculator to calculate the sum and difference of two squares
Using the calculator is simple, follow these 2 steps:
- Enter the numbers in the first and second input boxes.
- Click Calculate button to get the answer, or click Reset button to start a new calculation.
Next, let’s look at some examples.
Solved examples using sum and difference of two squares calculator
Example 1: What are the sum and difference of squares of 10 and 50?
Enter 10 in the first input box.
Enter 50 in the second input box.
Then click Calculate button, as shown in the figure, the sum of squares of them is 2600, and the difference of squares of them is 2400.
102 + 502 = 100 + 2500 = 2600
502 – 102 = 2500 – 100 = 2400
Example 2: What are the sum and difference of squares of 66 and 88?
Enter 66 in the first input box.
Enter 88 in the second input box.
Then click Calculate button, as shown in the figure, the sum of squares of them is 12100, and the difference of squares of them is 3388.
662 + 882 = 4356 + 7744 = 12100
882 – 662 = 7744 – 4356 = 3388
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