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DeadShot

  • 3 years ago

What is the simplified form of the quantity x-squared minus 16 over the quantity x plus 4 ?

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  1. DeadShot
    • 3 years ago
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    \[\frac{ x^2-16 }{ (x+4) }\]

  2. geerky42
    • 3 years ago
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    \[\dfrac{x^2 - 16}{x+4}\] I'd factor the numerator if I were you.

  3. geerky42
    • 3 years ago
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    Remember the differences of squares? \[x^2 - a^2 = (x-a)(x+a)\]

  4. DeadShot
    • 3 years ago
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    so then, the numerator would be \[(x+4)(x-4)\]right?

  5. geerky42
    • 3 years ago
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    Right.

  6. DeadShot
    • 3 years ago
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    and then the (x+4) would cancel each other out

  7. geerky42
    • 3 years ago
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    Yes

  8. DeadShot
    • 3 years ago
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    leaving the answer as x - 4, with the restriction x ≠ -4

  9. geerky42
    • 3 years ago
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    Yeah.

  10. DeadShot
    • 3 years ago
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    Thanks!

  11. geerky42
    • 3 years ago
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    Glad I helped.

  12. Sigmon11
    • 3 years ago
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    x-4, I did that one in my head

  13. geerky42
    • 3 years ago
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    Good for you.

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