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Aug 27, 2019 · Answer: a³ - b³ - c³ - 3(b + c)(a - b)(a - c) Step-by-step explanation: (a - b - c)³ = [a - (b + c)]³. let (b+c) be X //remember (a - b)³ = a³ - 3a²b + 3ab² ...
Aug 21, 2023 · a 3 + b 3 + c 3 – 3abc = (a + b + c) (a 2 + b 2 + c 2 – ab – bc – ca) a + b = (a 3 + b 3) / (a 2 – ab + b 2) a3-b3 Formula – a^3-b^3 Formula. The formula you are referring to, “a3 – b3,” represents the difference of cubes. It is an algebraic identity that can be factored into a product of binomials. The formula is as follows:
Apr 20, 2018 · Since the given polynomial is homogeneous and symmetrical w.r.t. a,b,c there can be only one linear factor a+b+c. You can substitute -(b+c) for a and prove that the result is zero and verify that a factor is a+b+c.
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Therefore, the formula is a + b 3 = a 3 + b 3 + 3 a 2 b + 3 a b 2. Suggest Corrections.
The (a - b - c) 2 formula is used to find the square of the difference between the three numbers without actually calculating the whole square and in factorization. (a - b - c) 2 formula is one of the major algebraic identities. To derive the expansion of (a - b - c) 2 formula we just multiply (a - b - c) by itself to get (a - b - c) 2.
Answer: 108 3 - 8 3 = 1,259,200. Example 2: Factorize the expression 27x 3 - 125 using a^3 - b^3 formula. Solution: To factorize: 27x 3 - 125. We will use the a 3 - b 3 formula to factorize this. We can write the given expression as. 27x 3 - 125 = (3x) 3 - 5 3. We will substitute a = 3x and b = 5 in the formula of a 3 - b 3.
