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 (x-y)/(x) (x-y)/(x)

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Factoring multivariable polynomials

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

Step 2 :

x2 + 7xy - 8y2 Simplify —————————————— x2 + 8xy

Step 3 :

Pulling out like terms :

3.1 Pull out like factors : x2 + 8xy = x • (x + 8y)

Trying to factor a multi variable polynomial :

3.2 Factoring x2 + 7xy - 8y2 Try to factor this multi-variable trinomial using trial and errorFound a factorization : (x + 8y)•(x - y)

Canceling Out :

3.3 Cancel out (x+8y) which appears on both sides of the fraction line.

Final result :

x - y ————— x

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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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