Question

If x is equal to a square + b square, y is equal to a square -b square, compute xy ​

Answer 1

x = a² + b²

y = a² - b²

xy = ?

= (a² + b²) (a² - b²)

= a⁴ + a²b² + b²a² - b⁴

= a⁴ + a²b² - a²b² - b⁴

= a⁴ - b⁴

Answer 2

a^4 - b^4

Explanation:

x = a^2 + b^2

y = a^2 - b^2

xy = (a^2 + b^2)(a^2 - b^2)

xy = a^4 + (a^2 b^2) - (a^2 b^2) - b^4

xy = a^4 - b^4