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diracy
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Number theory--product of squares
Suppose a and b are two integers, which can each be written as the sum of
two squares. Prove that ab can be expressed as the sum of two squares.
a=c[itex]^{2}[/itex]+d[itex]^{2}[/itex]
b=x[itex]^{2}[/itex]+y[itex]^{2}[/itex]
I'm not exactly sure how to approach this proof.
Homework Statement
Suppose a and b are two integers, which can each be written as the sum of
two squares. Prove that ab can be expressed as the sum of two squares.
Homework Equations
The Attempt at a Solution
a=c[itex]^{2}[/itex]+d[itex]^{2}[/itex]
b=x[itex]^{2}[/itex]+y[itex]^{2}[/itex]
I'm not exactly sure how to approach this proof.