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the item to the trashcan. Click the trashcan to clear all your answers.Factor pmpletely, then place the factors in the proper location on the grid.y2x - y - 20

the item to the trashcan Click the trashcan to clear all your answersFactor pmpletely then place the factors in the proper location on the gridy2x y 20 class=

Respuesta :

[tex]y^{2x}-y^x-20[/tex]

To factor:

1. Write the second term as a difference of two terms with coefficients that when you add it be equal to -1 and when you multiplied be equal to -20:

[tex]=y^{2x}+4y^x-5y^x-20[/tex]

2. Factor by grouping:

First two terms: y^x as common factor:

[tex]=y^x(y^x+4)-5y^x-20[/tex]

Last two terms: -5 as common factor:

[tex]=y^x(y^x+4)-5(y^x+4)[/tex]

3. Factor (y^x +4) as common factor:

[tex]=(y^x+4)(y^x-5)[/tex]

Then, the given function completely factor is:

[tex]y^{2x}-y^x-20=(y^x+4)(y^x-5)[/tex]

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