Reach for the Summit - M-S1-A1

Algebra Level 2

Let set A={xx=a2+b2,a,bZ}A=\{x|x=a^2+b^2, a,b \in \mathbb Z\}.

If x1,x2Ax_1,x_2 \in A, is it always true that x1x2Ax_1 \cdot x_2 \in A?


Reach for the Summit problem set - Mathematics

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