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Factor out the GCF froim the polynomial. 2(y+2)-4(y+2)

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User Lvthillo
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1 Answer

3 votes

Final answer:

The GCF of the polynomial 2(y+2) - 4(y+2) is (y+2). Factoring out the GCF results in a simplest form of the polynomial: -2*(y+2).

Step-by-step explanation:

The principle of factoring is to reduce a polynomial by separating out the Greatest Common Factor (GCF). For the polynomial 2(y+2) - 4(y+2), the GCF is (y+2).

To factor out the GCF, we combine the like terms together. The step-by-step process is as follows:

  1. First, we view the polynomial this way: 2*(y+2) - 4*(y+2)
  2. We can notice that (y+2) is a common factor. Therefore, we take it outside of the brackets: (y+2)*(2-4)
  3. The final answer will be: -2*(y+2).

This is the polynomial where the GCF of (y+2) has been factored out.

Learn more about Factoring Polynomials

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User Stealththeninja
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