Question

What is the form of the Pythagorean triple generator?

Answer 1

Answer:

option-B

Step-by-step explanation:

We can rewrite left side into right side form

$(x^2+y^2)^2=(x^2+y^2)(x^2+y^2)$

we can expand it

$(x^2+y^2)^2=x^4+x^2y^2+x^2y^2+y^4$

$(x^2+y^2)^2=x^4+y^4+2x^2y^2$

we can add and subtract 2x^2y^2

$(x^2+y^2)^2=x^4+y^4+2x^2y^2+2x^2y^2-2x^2y^2$

$(x^2+y^2)^2=x^4-2x^2y^2+y^4+2x^2y^2+2x^2y^2$

$(x^2+y^2)^2=x^4-2x^2y^2+y^4+4x^2y^2$

$(x^2+y^2)^2=x^4-2x^2y^2+y^4+(2xy)^2$

$(x^2+y^2)^2=(x^2-y^2)^2+(2xy)^2$