Solve Factoringmultivariablepolynomials H3-k3 Tiger Algebra Solver

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Enter an equation or problemClear Solve × Camera input is not recognized!axy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Factoring multivariable polynomials (h−k)⋅(h2+hk+k2) (h-k)*(h^2+hk+k^2)

Other Ways to Solve

Factoring multivariable polynomials

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "k3" was replaced by "k^3". 1 more similar replacement(s).

Step 1 :

Trying to factor as a Difference of Cubes:

1.1 Factoring: h3-k3 Theory : A difference of two perfect cubes, a3 - b3 can be factored into (a-b) • (a2 +ab +b2)Proof : (a-b)•(a2+ab+b2) = a3+a2b+ab2-ba2-b2a-b3 = a3+(a2b-ba2)+(ab2-b2a)-b3 = a3+0+0-b3 = a3-b3Check : h3 is the cube of h1Check : k3 is the cube of k1Factorization is : (h - k) • (h2 + hk + k2)

Trying to factor a multi variable polynomial :

1.2 Factoring h2 + hk + k2 Try to factor this multi-variable trinomial using trial and errorFactorization fails

Final result :

(h - k) • (h2 + hk + k2)

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Why learn this

Terms and topics

• Factoring polynomials with four or more terms
• Multiplying exponents
• Factoring binomials as sum or difference of cubes

Related links

• Variables with Exponents - How to Multiply and Divide them
• Math Forum - Ask Dr. Math
• How to factor five term polynomial - Yahoo Answers
• abstract algebra - Factoring multivariate polynomial - Mathematics Stack Exchange

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