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Factor the greatest common factor: −4y2 + 12y − 16. −1(4y2 − 12y + 16) −4y(y2 − 3y + 4) −4(y2 − 3y + 4) −4(y2 + 3y − 4)

Question

Factor the greatest common factor: −4y2 + 12y − 16. −1(4y2 − 12y + 16) −4y(y2 − 3y + 4) −4(y2 − 3y + 4) −4(y2 + 3y − 4)

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Solution

Claro, vamos a resolver el problema paso a paso.

  1. Identificar el factor común más grande en la expresión original: 4y2+12y16 -4y^2 + 12y - 16 .

  2. El factor común más grande es 4-4. Entonces, factorizamos 4-4 de cada término: 4(y23y+4) -4(y^2 - 3y + 4)

  3. Verificamos que la factorización es correcta: 4(y23y+4)=4y2+12y16 -4(y^2 - 3y + 4) = -4y^2 + 12y - 16

  4. La expresión factorizada es: 4(y23y+4) -4(y^2 - 3y + 4)

La respuesta correcta es: 4(y23y+4) -4(y^2 - 3y + 4)

This problem has been solved

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