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