Algebraic identities | (a+b)²=a²+b²+2ab | (a-b)²=a²+b²-2ab | (a+b)(a-b)=a²-b² | ALGEBRA

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(a+b)²=a²+2ab+b² or a²+b²+2ab

(a-b)²=a²-2ab+b² or a²+b²-2ab

(a+b)²+(a-b)²=2(a²+b²)

(a+b)²-(a-b)²=4ab

(a+b)(a-b)=a²-b²

(a+b+c)²=a²+b²+c²+2ab+2bc+2ca

(a+b-c)²=a²+b²+c²+2ab-2bc-2ca

(a-b+c)²=a²+b²+c²-2ab-2bc+2ca

(a-b-c)²=a²+b²+c²-2ab+2bc-2ca

(a+b)³=a³+3a²b+3ab²+b³ or a³+b³+3ab(a+b)

(a-b)³=a³-3a²b+3ab²-b³ or a³-b³-3ab(a-b)

a³+b³=(a+b)(a²-ab+b²) or (a+b)³-3ab(a+b)

a³-b³=(a-b)(a²+ab+b²) or (a-b)³+3ab(a-b)

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