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2 years ago

9x^8 y^2 - 6x^3 y^4 / 3xy simplified

Mathematics

1 answer:

liberstina [14]2 years ago

6 0

Answer:

None of the choices are correct

Stefofp-by-step explanation:

Simplify the following:

(-6 x^3 y^4 + 9 x^8 y^2)/(3 x y)

Factor 3 x^3 y^2 out of -6 x^3 y^4 + 9 x^8 y^2:

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y)

(3 x^3 y^2 (-2 y^2 + 3 x^5))/(3 x y) = 3/3×(x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = (x^3 y^2 (-2 y^2 + 3 x^5))/(x y):

(x^3 y^2 (-2 y^2 + 3 x^5))/(x y)

Combine powers. (x^3 y^2 (-2 y^2 + 3 x^5))/(x y) = x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5):

x^(3 - 1) y^(2 - 1) (-2 y^2 + 3 x^5)

3 - 1 = 2:

x^2 y^(2 - 1) (-2 y^2 + 3 x^5)

2 - 1 = 1:

Answer: x^2 y (-2 y^2 + 3 x^5)

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Using number sets, it is found that the correct classification of the number is:

C. rational number, integer, whole number, natural number , real number.

Numbers are classified as:

Whole, which is all positive numbers and zero, also called natural.
Integers, which is the set of whole numbers plus negatives.
Rational, which is the set of integer numbers plus terminating or repeating decimals.
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In this problem, the number given is:

$\frac{100}{5} = 20$

Which is a whole(natural) number, thus it is also integer, rational and real, and the correct option is C.

A similar problem is given at brainly.com/question/10814303

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