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3 years ago

What is the sum of 2x^2 and 2x^3

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

For this case we have the following expression:

$2x ^ 2 + 2x ^ 3$

The terms are not similar, so they cannot be added.

<em>Examples of similar terms:</em>

$x ^ 3 + x ^ 3 = 2x ^ 3\\3x ^ 4 + 2x ^ 4 = 5x ^ 4$

Then, the expression given can only be rewritten as:

$2 (x ^ 2 + x ^ 3)$

This is taking common factor 2 to both terms.

Answer:

$2 (x ^ 2 + x ^ 3)$

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Answer:

x ∈ (-∞, -1) ∪ (1, ∞)

Step-by-step explanation:

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So the roots are:

$x = 1\\x = -1$

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Now the expression is as follows:

$\frac{(x-2) ^ 2}{(x-1) (x + 1)}\geq0$

Now we use the study of signs to solve this inequality.

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We know that the first two are not allowed because they make the denominator zero.

Observe the attached image.

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