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Your answer should be a polynomial (x2−16)/(x+4)(x^2-16)/(x+4)

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Full solution

Q. Your answer should be a polynomial (x2−16)/(x+4)(x^2-16)/(x+4)
  1. Recognize as difference of squares: Step 11: Recognize the expression in the numerator as a difference of squares. x2−16x^2 - 16 can be factored as (x−4)(x+4)(x - 4)(x + 4).
  2. Substitute factored form: Step 22: Substitute the factored form of the numerator into the original expression.\newline(x2−16)/(x+4)=((x−4)(x+4))/(x+4)(x^2 - 16)/(x + 4) = ((x - 4)(x + 4))/(x + 4).
  3. Cancel out common factor: Step 33: Cancel out the common factor (x+4)(x + 4) in the numerator and the denominator.(x−4)(x+4)x+4=x−4, for x≠−4.\frac{(x - 4)(x + 4)}{x + 4} = x - 4, \text{ for } x \neq -4.

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