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Faktorisera med första kvadreringsregeln

Ett uttryck på formen a2+2ab+b2 kan faktoriseras genom att första kvadreringsregeln används "baklänges":

a2+2ab+b2=(a+b)2.

Exempelvis kan uttrycket x2+10x+25 skrivas som x2+2⋅x⋅5+52, vilket kan uttryckas som en multiplikation av två identiska parenteser:

x2+2⋅x⋅5+52=(x+5)2.

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