Question

PART A. Expand the polynomial (x2 − y2)2 + (2xy)2, then simplify it by combining like terms.
PART B. Factor the result and write it as a square.
PART C. Now combine the results of part A and part B, and identify the resulting identity.

Answer 1

(x2-y1)²+(2xy)1 =
x⁴-2x²y²+y⁴+4x²y² =
x⁴+2x²y²+y⁴=
(x²+y²)²