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= a ( c + d ) + b ( c + d ) = ( a + b ) ( c + d ) {\displaystyle =a\left(c+d\right)+b\left(c+d\right)=\left(a+b\right)\left(c+d\right)}
a 2 + 2 a b + b 2 = ( a + b ) 2 {\displaystyle a^{2}+2ab+b^{2}=(a+b)^{2}}
a 2 − 2 a b + b 2 = ( a − b ) 2 {\displaystyle a^{2}-2ab+b^{2}=(a-b)^{2}}
a n + b n = ( a + b ) ( a n − 1 − a n − 2 b + … − a b n − 2 + b n − 1 ) {\displaystyle a^{n}+b^{n}=\left(a+b\right)\left(a^{n-1}-a^{n-2}b+\ldots -ab^{n-2}+b^{n-1}\right)} , kun n on pariton luonnollinen luku