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1
$$(a+b)(a-b)$$
$$\displaystyle (a^2-b^2)$$
2
$$(a^3-b^3)$$
$$\displaystyle (a-b)(a^2+b^2+ab)$$
3
$$(a^3+b^3)$$
$$\displaystyle (a+b)(a^2+b^2-ab)$$
4
$$(a+b+c)^2$$
$$\displaystyle a^2+b^2+c^2+2(ab+bc+ca)$$
5
$$\displaystyle (a^3+b^3+c^3-3abc)$$
$$\displaystyle (a+b+c) * (a^2+b^2+c^2 - ab - bc - ca)$$
6
If $$(a+b+c)=0$$
$$\displaystyle a^3+b^3+c^3=3abc$$
7
$$(a+b)^2$$
$$\displaystyle (a^2+b^2+2ab)$$
8
$$(a-b)^2$$
$$\displaystyle (a^2+b^2-2ab)$$
9
$$(a+b)^3$$
$$\displaystyle a^3+b^3+3ab(a+b)$$
10
$$(a-b)^3$$
$$\displaystyle a^3-b^3-3ab(a-b)$$
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