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# What is the quotient in simplified form? State any restrictions on the variable? \frac{x^2-16}{x^2+5x+6} /\frac{x^2+5x+4}{x^2-2x-8}

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We can start by rearranging this in the multiplication:Now we can factor the numerators and denominators:The factors (x+4) (x+2) cancel out, leaving us with:Our answer comes out to be: o Based on the numerator of the second fraction (because it uses its inverse), the denominators of both, and of the factors that are cancelled earlier, the restrictions are x ≠ -4, -3, -2, -1, 4