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Pahle question ka forth question samjhao hindienglish me 

In the image, the fourth question from the list under "Add the following polynomials" reads:

\[ \frac{2}{3}x^2 - \frac{1}{3}, x^3 + 5, \frac{4}{3}x^2 + 2x^3 - 3, \frac{5}{3}x^2 - \frac{4}{3}x + 1 \]

We need to add these polynomials. Let's break this down into steps, making sure to combine like terms, which are terms that involve the same powers of \(x\).

1. Identify and combine constant terms.
2. Identify and combine terms involving \(x\).
3. Identify and combine terms involving \(x^2\).
4. Identify and combine terms involving \(x^3\).

Let's add these polynomials step by step. I'll calculate the sum now.The sum of the given polynomials is:

\[ 3x^3 + \frac{11}{3}x^2 - \frac{4}{3}x + \frac{8}{3} \]

Here’s a breakdown of how each term was combined:

- For \(x^3\): \(x^3 + 2x^3 = 3x^3\)
- For \(x^2\): \(\frac{2}{3}x^2 + \frac{4}{3}x^2 + \frac{5}{3}x^2 = \frac{11}{3}x^2\)
- For \(x\): \(- \frac{4}{3}x\)
- Constants: \(- \frac{1}{3} + 5 - 3 + 1 = \frac{8}{3}\)

Would you like further details or have any questions on this? Here are some possible questions you might consider:

1. How to find the coefficients for each term?
2. What if the powers of \(x\) were different?
3. How do negative signs affect the addition of terms?
4. How to check if you have combined all like terms correctly?
5. Can you show a graphical representation of these polynomials?

**Tip:** Always align the like terms vertically when adding polynomials manually to avoid missing any term or making errors in sign.

Pahle question ka forth question samjhao hindienglish me

Learn how to add polynomials step-by-step with a detailed explanation of the 4th question in polynomial addition. This problem involves combining like terms and is suitable for students in Grades 8-10.

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