1. **Problem:** Given the algebraic expression $$4x^2 - 3x + 2x^2 - 7x - 5$$
2. **Step 1: Identify the terms (Suku-suku) in the expression.**
The terms are the parts separated by plus or minus signs: $$4x^2, -3x, 2x^2, -7x, -5$$
3. **Step 2: Identify like terms (Suku-suku yang sejenis).**
Like terms have the same variable and exponent:
- $$4x^2$$ and $$2x^2$$ are like terms.
- $$-3x$$ and $$-7x$$ are like terms.
- $$-5$$ is a constant term.
4. **Step 3: Determine the degree (Derajat) of the algebraic expression.**
The degree is the highest exponent of the variable in the expression. Here, the highest exponent is 2 (from $$x^2$$ terms), so the degree is 2.
5. **Step 4: Simplify the algebraic expression by combining like terms.**
Combine $$4x^2$$ and $$2x^2$$:
$$4x^2 + 2x^2 = \cancel{4x^2} + \cancel{2x^2} = 6x^2$$
Combine $$-3x$$ and $$-7x$$:
$$-3x - 7x = \cancel{-3x} - \cancel{7x} = -10x$$
The constant term remains $$-5$$.
So, the simplified expression is:
$$6x^2 - 10x - 5$$
**Final answers:**
- a. Terms: $$4x^2, -3x, 2x^2, -7x, -5$$
- b. Like terms: $$4x^2, 2x^2$$ and $$-3x, -7x$$
- c. Degree: 2
- d. Simplified expression: $$6x^2 - 10x - 5$$
Algebra Terms 3A4D09
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