Algebraic identities

${(a+b)}^2 \,=\, a^2+b^2+2ab$

${(a-b)}^2 \,=\, a^2+b^2-2ab$

$(a+b)(a-b) \,=\, a^2-b^2$

${(a+b)}^3 \,=\, a^3+b^3+3ab(a+b)$

${(a-b)}^3 \,=\, a^3-b^3-3ab(a-b)$



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