what is (a-b)(b-a) formula?
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a³-b³ = (a-b) (a² + ab + b²) a³+b³ = (a+b) (a² – ab + b²) (a+b)³ = a³+ 3a²b + 3ab² + b³ (a-b)³ = a³- 3a²b + 3ab² – b³ “n” is a natural number, an – bn = (a-b) (an-1 + an-2b +….bn-2a + bn-1)
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(a-b)² = a² – 2ab + b² a² + b² = (a-b)² +2ab. (a+b+c)² = a²+b²+c²+2ab+2ac+2bc. (a-b-c)² = a²+b²+c²-2ab-2ac+2bc. a³-b³ = (a-b) (a² + ab + b²)
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