Simplify the expression: (x^2 + 11x + 30) / (x^2 + 8x + 15) * (x + 6) / (x + 3) * (x + 3) / (x + 5) a. (x +...

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14. Simplify the expression: (x^2 + 11x + 30) / (x^2 + 8x + 15) * (x + 6) / (x + 3) * (x + 3) / (x + 5)
a. (x + 5)(x + 3) / (x + 6)(x + 3)
b. (x + 5) / (x + 6)(x + 3)
c. (x + 3) / (x + 5)
d. (x + 6) / (x + 5)

SnapAndSolve AI · Accepted Answer

Answer: b. (x + 5) / (x + 6)(x + 3) Factor the quadratic expressions: x^2 + 11x + 30 = (x + 5)(x + 6) x^2 + 8x + 15 = (x + 3)(x + 5) Substitute the factored forms into the expression: ((x + 5)(x + 6) / (x + 3)(x + 5)) * ((x + 6) / (x + 3)) * ((x + 3) / (x + 5)) Cancel out the common terms: (x + 5) / ((x + 6)(x + 3))

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Simplify the expression: (x^2 + 11x + 30) / (x^2 + 8x + 15) * (x + 6) / (x + 3) * (x + 3) / (x + 5) a. (x +...

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