3 years ago

What is the simplest form of x2+5x-36/x2-16

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

6 0

Answer:

(x^4 + 5 x^3 - 16 x^2 - 36)/x^2

Step-by-step explanation:

Simplify the following:

x^2 + 5 x - 16 - 36/x^2

Put each term in x^2 + 5 x - 16 - 36/x^2 over the common denominator x^2: x^2 + 5 x - 16 - 36/x^2 = x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2:

x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2

x^4/x^2 + (5 x^3)/x^2 - (16 x^2)/x^2 - 36/x^2 = (x^4 + 5 x^3 - 16 x^2 - 36)/x^2:

Answer: (x^4 + 5 x^3 - 16 x^2 - 36)/x^2

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