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exis [7]
2 years ago
12

Simplify the rational Expression ​

Mathematics
1 answer:
qaws [65]2 years ago
4 0

Answer:

\frac{x^2+2x}{x-3}

Step-by-step explanation:

We need to factor out numerator and denominator in order to simplify the rational expression by cancelling  common factors.

Numerator :  x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)

Denominator (factoring by grouping):

x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)

Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:

x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

\frac{x^2+2x}{x-3}

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