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SSSSS [86.1K]
3 years ago
11

What is the sum of the polynomials?

Mathematics
2 answers:
kotykmax [81]3 years ago
8 0

If you have to find the sum of the polynomials (7x^3 - 4x^2) + (2x^3 - 4x^2)=7x^3-4x^2+2x^3-4x^2, then you have:

1. group all terms that have equal degrees

7x^3+2x^3 \text{ and } -4x^2-4x^2.

2. Add the coefficients near terms of equal degree

7+2=9,

-4-4=-8.

3. Write the sum as 9x^3-8x^2.

Answer: correct choice is D.

Olenka [21]3 years ago
5 0
(7x3 – 4x2) + (2x3 – 4x2) = 9x3 – 8x2

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Step by step explanation pls (30 points!)
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Answer:

40t^4

Step-by-step explanation:

I'm guessing you have to simplify the expression so...

first, on the top of the fraction there is a 5^2 which is just 25. 25*25 = 625, so the top of the fraction bar changes to 625 * t^8

The denominator is 10^3 = 1000. this changes it to 1000 * t^4

The hard part now is to simplify this. t^8 is just t*t*t*t*t*t*t*t. similarly t^4 is just t*t*t*t

Since there are 4 t's in both the numerator and denominator, this cancels it out and changes this to

\frac{625  \cdot t^4}{1000} which simplifies to \frac{5 \cdot t^4}{8}.

To get rid of the denominator, we multiply 8/8 to the fraction to get:

8(5 \cdot t^4), which if we distribute the 8 we get: 40t^4. Which is our answer!

Hope this helps!

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