Скачать или смотреть Addition of Algebraic Expressions Lec-01 | Basics of Algebra | MathOGuide

Addition of Algebraic Expressions Lec-01 | Basics of Algebra | MathOGuide

To add algebraic expressions, follow these steps:

1. **Identify Like Terms**: Look for terms with the same variables raised to the same powers. For example, in the expression \(3x^2 + 2x + 5x^2\), \(3x^2\) and \(5x^2\) are like terms.

2. **Combine Like Terms**: Add or subtract the coefficients of the like terms while keeping the variable and its exponent unchanged. For example, in the expression \(3x^2 + 2x + 5x^2\), combining like terms yields \(8x^2 + 2x\).

3. **Check for Similar Terms**: Ensure all possible like terms are combined. Don't forget constant terms (terms without variables), which can also be combined.

4. **Write the Result**: Write down the simplified expression after combining all like terms.

Here's an example:
\[ (3x^2 + 2x) + (5x^2 - 4x) \]

1. Identify like terms:
\(3x^2\) and \(5x^2\) are like terms, as are \(2x\) and \(-4x\).

2. Combine like terms:
\(3x^2 + 5x^2 = 8x^2\),
\(2x - 4x = -2x\).

3. Write the result:
\( (3x^2 + 2x) + (5x^2 - 4x) = 8x^2 - 2x \).