Factoring Multivariable Polynomials - Tiger Algebra
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%123+<>0,.=abcabcdefghijklmnopqrstuvwxyz␣.Solution - Factoring multivariable polynomials (2b+c)2 (2b+c)^2Other Ways to Solve
Factoring multivariable polynomialsStep 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) + c2Step 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)2How did we do?
Please leave us feedback.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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