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 5x2y2⋅(3x3y−2x+4y3) 5x^2y^2*(3x^3y-2x+4y^3)

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Factoring multivariable polynomials

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

(((15•(x5))•(y3))+((20•(x2))•(y5)))-((2•5x3)•y2)

Step 2 :

Equation at the end of step 2 :

(((15•(x5))•(y3))+((22•5x2)•y5))-(2•5x3y2)

Step 3 :

Equation at the end of step 3 :

(((3•5x5) • y3) + (22•5x2y5)) - (2•5x3y2)

Step 4 :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors : 15x5y3 - 10x3y2 + 20x2y5 = 5x2y2 • (3x3y - 2x + 4y3)

Trying to factor a multi variable polynomial :

5.2 Factoring 3x3y - 2x + 4y3 Try to factor this multi-variable trinomial using trial and errorFactorization fails

Final result :

5x2y2 • (3x3y - 2x + 4y3)

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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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