Solve Identifyingperfectcubes X^3+6x^2y+12xy^2+8y^3 Tiger ...

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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 - Identifying perfect cubes (x+2y)3 (x+2y)^3

Other Ways to Solve

Identifying perfect cubes

Step by Step Solution

Step 1 :

Equation at the end of step 1 :

(((x3)+((6•(x2))•y))+(12x•(y2)))+23y3

Step 2 :

Equation at the end of step 2 :

(((x3)+((6•(x2))•y))+(22•3xy2))+23y3

Step 3 :

Equation at the end of step 3 :

(((x3) + ((2•3x2) • y)) + (22•3xy2)) + 23y3

Step 4 :

Checking for a perfect cube :

4.1 Factoring: x3+6x2y+12xy2+8y3 . x3+6x2y+12xy2+8y3 is a perfect cube which means it is the cube of another polynomialIn our case, the cubic root of x3+6x2y+12xy2+8y3 is x+2y Factorization is (x+2y)3

Final result :

(x + 2y)3

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Terms and topics

  • Identifying perfect cubes
  • Polynomial root calculator
  • Multiplying exponents

Related links

  • Exponents: Basic Rules | Purplemath
  • Variables with Exponents - How to Multiply and Divide them
  • How to factor five term polynomial - Yahoo Answers

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