Use the polynomial identity below to you create a list of 10 pythagorean triples: (+) =(-[ tex]y^{2}[/tex])+(2x y) hint #1: c² = a² + b² hint #2: pick 2 positive integers x and y, where x > y

See explanation

Step-by-step explanation:

You are given the equality

where x, y are two positive integers with x>y.

1. x=2,y=1, then

First Pythagorean triple is (3,4,5)

2. x=3,y=1, then

Second Pythagorean triple is (6,8,10)

3. x=3,y=2, then

Third Pythagorean triple is (5,12,13)

4. x=4,y=1, then

Fourth Pythagorean triple is (8,15,17)

5. x=4,y=2, then

Fifth Pythagorean triple is (12,16,20)

6. x=4,y=3, then

Sixth Pythagorean triple is (7,24,25)

7. x=5,y=1, then

Seventh Pythagorean triple is (10,24,26)

8. x=5,y=2, then

8th Pythagorean triple is (20,21,29)

9. x=5,y=3, then

9th Pythagorean triple is (16,30,34)

10. x=5,y=4, then

10th Pythagorean triple is (9,40,41)

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step-by-step explanation: