Factoring Multivariable Polynomials - Tiger Algebra

Logo Icon Enter an equation or problemClear Solve Camera input is not recognized!abcaxy/|abs|( )789*456-%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Factoring multivariable polynomials (2b+c)2 (2b+c)^2

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Factoring multivariable polynomials

Step by Step Solution

Reformatting the input :

Changes made to your input should not affect the solution: (1): "c2" was replaced by "c^2". 1 more similar replacement(s).

Step 1 :

Equation at the end of step 1 :

(22b2 + 4bc) + c2

Step 2 :

Trying to factor a multi variable polynomial :

2.1 Factoring 4b2 + 4bc + c2 Try to factor this multi-variable trinomial using trial and errorFound a factorization : (2b + c)•(2b + c)

Detecting a perfect square :

2.2 4b2 +4bc +c2 is a perfect squareIt factors into (2b+c)•(2b+c)which is another way of writing (2b+c)2How to recognize a perfect square trinomial: • It has three terms • Two of its terms are perfect squares themselves • The remaining term is twice the product of the square roots of the other two terms

Final result :

(2b + c)2

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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

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