algebraic identities for root
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Difference of Squares
a2 - b2 = (a-b)(a+b)
Difference of Cubes
a3 - b3 = (a - b)(a2+ ab + b2)
Sum of Cubes
a3 + b3 = (a + b)(a2 - ab + b2)
Formula for (a+b)2 and (a-b)2
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab +b2
Formula for (a+b)3 and (a-b)3
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
a2 - b2 = (a-b)(a+b)
Difference of Cubes
a3 - b3 = (a - b)(a2+ ab + b2)
Sum of Cubes
a3 + b3 = (a + b)(a2 - ab + b2)
Formula for (a+b)2 and (a-b)2
(a + b)2 = a2 + 2ab + b2
(a - b)2 = a2 - 2ab +b2
Formula for (a+b)3 and (a-b)3
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a - b)3 = a3 - 3a2b + 3ab2 - b3
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Answered by
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Difference of Squares
a2- b2 (a-b)(a+b)
Difference of Cubes
a3- b3 (a - b)(a2+ ab + b2)
Sum of Cubes
a3 +b3 (a + b)(a2 - ab + b2)
Formula for (atb)2 and (a-b)2
(a + b)2 = a2+ 2ab + b2
(a - b)2 = a2 - 2ab +b2
Formula for (atb)3 and (a-b)3
(a +b)3 = a3 +3a2b +3ab2 + b3
(a - b)3 a3 - 3a2b +3ab2 - b3
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