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What is the formula for (a+b)^3? - Socratic
WEBFeb 3, 2015 · The answer is: (a+b)^3=a^3+3a^2b+3ab^2+b^3. It's easy to prove: (a+b)^3= =(a+b)(a+b)(a+b)= =(a^2+ab+ab+b^2)(a+b)= =(a^2+2ab+b^2)(a+b)= =a^3+a^2b+2a^2b+2ab^2+ab^2+b^3
Socratic.orgHow do you expand (a-b)^3? - Socratic
WEBFeb 22, 2017 · a^3 - 3a^2b +3ab^2 -b^3 Use the Binomial expansion (note the exponents sum to the power in each term): (x+y)^3 = _3C_0x^3y^0 + _3C_1x^2y^1 +_3C_2x^1y^2 +_3C_3x^0y^3
Socratic.orgHow do you factor (a+b)³ - (a-b)³? - Socratic
WEBMay 23, 2015 · Expanding: (a+b)^3-(a-b)^3 = (a^3+3a^2b+3ab^2+b^3)-(a^3-3a^2b+3ab^2-b^3) = 6a^2b+2b^3 =2b(3a^2+b^2) If you are allowed complex coefficients this can be broken down into linear factors: =2b(sqrt(3)a+ib)(sqrt(3)a-ib) Notice also that: (a+b)^3+(a-b)^3 = (b+a)^3-(b-a)^3 = 2a(3b^2+a^2)
Socratic.orgSolve (a+b+c)^{3} - Toppr
WEBSolve a3(b−c)3 +b3(c −a)3 +c3(a−b)3. View Solution. Q 3. Solve a3 +b3 +c3 −3abc. If a+b+c = 0. View Solution. Q 4. Solve a+b +c = 3. a2 +b2 +c2 = 6.
Toppr.comFactorise : (a - b)^3 + (b - c)^3 + (c - a)^3.3a^2 (b-c)+3b^2 - Toppr
WEBClick here:point_up_2:to get an answer to your question :writing_hand:factorise a b3 b c3 c a3
Toppr.comFactors of (a+b)^3 - (a-b)^3 …
WEBa b (3 a 2 + b 2) D. 2 b (3 a 2 + b 2) Open in App. Solution. Verified by Toppr (a + b) 3
Toppr.comHow do you factor a^3-b^3? - Socratic
WEBJan 23, 2016 · a^3-b^3=(a-b)(a^2+ab+b^2) This is the difference of cubes identity: a^3-b^3=(a-b)(a^2+ab+b^2) Algebra Polynomials and Factoring Factor Polynomials Using Special Products
Socratic.orgSolve the following expression:{(a+b)}^{3}-8{(a-b)}^{3} - Toppr
WEBView Solution. Q 2. Solve the following : log(3√a−1√b3 ÷√b3√a). View Solution.
Toppr.comFactorise: { a }^{ 3 }-{ b }^{ 3 }-a+b - Toppr
WEBFactorise:a3 −b3−c3 −3abc. View Solution. Click here:point_up_2:to get an answer to your question :writing_hand:factorise a 3 b 3 ab.
Toppr.comHow do you factor a^3 + b^3? | Socratic
WEBFeb 19, 2017 · (a+b)(a^2 -ab +b^2) In order to factor a^3 + b^3 we must recognize that a^3 is a perfect cube with a factor of a and b^3 is a perfect cube with a factor of b The factor pattern for a binomial of perfect cubes is (a+b)(a^2 -ab +b^2) The factor of a^3 and the factor of b^3 go in the first parenthesis. The second parenthesis has the factor of a^3 …
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