Factoring Multivariable Polynomials - Tiger Algebra

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Camera Icon Enter an equation or problemClear Camera Icon Solve Camera input is not recognized!Keyboardarrow leftarrow rightenterdelsquare 2square 10axy/|abs|( )789*fractionsqrt root456-root%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Factoring multivariable polynomials −8a2b2c2⋅(2a4b7−3ac2−4b3c) -8a^2b^2c^2*(2a^4b^7-3ac^2-4b^3c)

Other Ways to Solve

Factoring multivariable polynomials

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

((((24•(a3))•(b2))•(c4))+(((32•(a2))•(b5))•(c3)))-((24a6•b9)•c2)

Step 2 :

Equation at the end of step 2 :

((((24•(a3))•(b2))•(c4))+((25a2•b5)•c3))-24a6b9c2

Step 3 :

Equation at the end of step 3 :

((((23•3a3) • b2) • c4) + 25a2b5c3) - 24a6b9c2

Step 4 :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors : -16a6b9c2 + 24a3b2c4 + 32a2b5c3 = -8a2b2c2 • (2a4b7 - 3ac2 - 4b3c)

Trying to factor a multi variable polynomial :

5.2 Factoring 2a4b7 - 3ac2 - 4b3c Try to factor this multi-variable trinomial using trial and errorFactorization fails

Final result :

-8a2b2c2 • (2a4b7 - 3ac2 - 4b3c)

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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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