3. Write down the constant term: a) $$ 7 x-3 y+2 $$ c) $$ 5 r-4 y-4-2 x $$ e) $$ 5+2(6 x-4 y) $$

Question

UpStudy AI · Accepted Answer

Certainly! Let's identify the **constant term** in each of the given expressions. The constant term is the term that does not contain any variables.

### a) $$ 7x - 3y + 2 $$

- **Terms:**
  - $$ 7x $$ (variable term)
  - $$ -3y $$ (variable term)
  - $$ +2 $$ (**constant term**)

- **Constant Term:** **2**

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### c) $$ 5r - 4y - 4 - 2x $$

- **Terms:**
  - $$ 5r $$ (variable term)
  - $$ -4y $$ (variable term)
  - $$ -4 $$ (**constant term**)
  - $$ -2x $$ (variable term)

- **Constant Term:** **-4**

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### e) $$ 5 + 2(6x - 4y) $$

First, let's simplify the expression:

$$
5 + 2(6x - 4y) = 5 + 12x - 8y
$$

- **Terms after simplification:**
  - $$ 12x $$ (variable term)
  - $$ -8y $$ (variable term)
  - $$ +5 $$ (**constant term**)

- **Constant Term:** **5**

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### **Summary of Constant Terms:**

- **a)** 2
- **c)** -4
- **e)** 5
- **a)** 2 - **c)** -4 - **e)** 5

3. Write down the constant term: a) \( 7 x-3 y+2 \) c) \( 5 r-4 y-4-2 x \) e) \( 5+2(6 x-4 y) \)