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kotegsom [21]
3 years ago
10

What is the derivative of (3x^2 - 2x + 10) + (5x + 2)

Mathematics
1 answer:
bulgar [2K]3 years ago
3 0

\frac{d}{dx} ( {3x}^{2}  - 2x + 10 + 5x + 2) \\ 6x - 2 + 5 \\ 6x + 3

Therefore the derivative is 6x+3

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Answer:

Factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

Step-by-step explanation:

We need to factor the expression xy^4+x^4y^4 completely

We need to find common terms in the expression.

Looking at the expression, we get xy^4 is common in both terms, so we can write:

xy^4+x^4y^4\\=xy^4(1+x^3)

So, taking out the common expression we get: xy^4(1+x^3)

Now, we can factor the term (1+x^3) or we can write (x^3+1) by using formula:

a^3+b^3=(a+b)(a^2-ab+b^2)

So, we get:

xy^4(1+x^3)\\=xy^4(x^3+1)\\Applying\:the\:formula\;of\:a^3+b^3\\=xy^4(x+1)(x^2-x+1)

Therefor factoring the expression xy^4+x^4y^4 completely we get \mathbf{xy^4(x+1)(x^2-x+1)}

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Exponential Functions

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Step-by-step explanation:

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