p^2+q^2+5a(p^2+q^2)
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The factorization form is:
p² + q² + 5a (p²+q²)
p² + q² + 5ap² + 5aq²
( 1 + 5a ) p² + ( 1+ 5a )q²
(1 + 5a² ) ( p² + q² )
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