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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 (g+h)2 (g+h)^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): "h2" was replaced by "h^2". 1 more similar replacement(s).

Step 1 :

Trying to factor a multi variable polynomial :

1.1 Factoring g2 + 2gh + h2 Try to factor this multi-variable trinomial using trial and errorFound a factorization : (g + h)•(g + h)

Detecting a perfect square :

1.2 g2 +2gh +h2 is a perfect squareIt factors into (g+h)•(g+h)which is another way of writing (g+h)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 :

(g + h)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

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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