https://file.aiquickdraw.com/mathbot/file/1726146202183u936cfsg.jpg

Iske first question ka forth question samjhao

The fourth subpart of the first question (from the image provided) asks you to **Add the following polynomials**:

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

To solve this, we follow these steps:

### Step 1: Combine like terms
- The terms containing \( x^2 \) are \( \frac{4}{3} x^2 \) and \( \frac{5}{3} x^2 \).
- The constant terms are \( 5 \) and \( 4 \).

### Step 2: Add the \( x^2 \) terms
\[
\frac{4}{3} x^2 + \frac{5}{3} x^2 = \frac{4 + 5}{3} x^2 = \frac{9}{3} x^2 = 3x^2
\]

### Step 3: Add the constant terms
\[
5 + 4 = 9
\]

### Step 4: Write the final expression
Now combine the result from Step 2 and Step 3:
\[
3x^2 + 9
\]

Thus, the sum of the given polynomials is:
\[
\boxed{3x^2 + 9}
\]

---

Would you like more details on this solution, or help with any other parts of the question?

Here are 5 related questions:
1. How do you subtract polynomials with similar terms?
2. What is the general rule for adding fractions with variables?
3. How do you combine terms with different powers of the same variable?
4. Can we multiply polynomials directly after adding them?
5. How does the degree of a polynomial affect its simplification?

**Tip:** When adding polynomials, always group like terms (terms with the same variables and exponents) to simplify the process.

This guide explains how to add polynomials by combining like terms in an algebraic expression, specifically focusing on the polynomial addition problem from the given question. Perfect for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation