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☞ (a+b)²= a²+2ab+b².
☞ (a+b)²= (a-b)²+4ab.
☞ (a-b)²= a²-2ab+b².
☞ (a-b)²= (a+b)²-4ab.
☞ a² + b²= (a+b)²-2ab..
☞ a² + b²= (a-b)²+2ab..
☞ a²-b²= (a +b)(a -b).
☞ 2(a²+b²)= (a+b)²+(a-b)².
☞ 4ab = (a+b)²-(a-b)².
☞ ab = {(a+b)/2}²-{(a-
b)/2}².
☞ (a+b+c)² = a²+b²+c²
+2(ab+bc+ca).
☞ (a+b)³ = a³+3a²b+3ab²
+b³.
☞ (a+b)³ = a³+b³+3ab(a+b).
☞ (a-b)³= a³-3a²b+3ab²-
b³.
☞ (a-b)³= a³-b³-3ab(a-b).
☞ a³+b³= (a+b) (a²-ab+b²).
☞ a³+b³= (a+b)³-3ab(a+b).
☞ a³-b³ = (a-b) (a²+ab+b²).
☞ a³-b³ = (a-b)³+3ab(a-b).