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

Question

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

SnapAndSolve AI · Accepted Answer

To simplify the expression, we first factor the polynomials:

The numerator x^2 + 11x + 30 factors to (x + 5)(x + 6).
The denominator x^2 - 8x + 15 factors to (x - 5)(x - 3).

So the expression becomes:

((x + 5)(x + 6) / ((x - 5)(x - 3))) * (x + 5) / (x - 3)

We can cancel (x + 5) in the numerator and denominator:

(x + 6) / (x - 5)

The correct answer is:

Option a: x + 6 / x - 5

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

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