Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Rearrange these expressions by putting like terms together, and simplify.

a. [tex]\[ 2a + b + a - 3b \][/tex]

b. [tex]\[ x + 3y + 2x - 4y \][/tex]

c. [tex]\[ f + 2g - 3f + g + f - 5 \][/tex]

Sagot :

GinnyAnswer
Sure! Let's simplify each expression by combining like terms.

### a) Simplify the expression [tex]\(2a + b + a - 3b\)[/tex]

1. Identify like terms:
- Terms involving [tex]\(a\)[/tex]: [tex]\(2a\)[/tex] and [tex]\(a\)[/tex].
- Terms involving [tex]\(b\)[/tex]: [tex]\(b\)[/tex] and [tex]\(-3b\)[/tex].

2. Combine like terms:
- Combine terms with [tex]\(a\)[/tex]: [tex]\(2a + a = 3a\)[/tex].
- Combine terms with [tex]\(b\)[/tex]: [tex]\(b - 3b = -2b\)[/tex].

3. Write the simplified expression:
[tex]\[ 2a + b + a - 3b = 3a - 2b \][/tex]

### b) Simplify the expression [tex]\(x + 3y + 2x - 4y\)[/tex]

1. Identify like terms:
- Terms involving [tex]\(x\)[/tex]: [tex]\(x\)[/tex] and [tex]\(2x\)[/tex].
- Terms involving [tex]\(y\)[/tex]: [tex]\(3y\)[/tex] and [tex]\(-4y\)[/tex].

2. Combine like terms:
- Combine terms with [tex]\(x\)[/tex]: [tex]\(x + 2x = 3x\)[/tex].
- Combine terms with [tex]\(y\)[/tex]: [tex]\(3y - 4y = -y\)[/tex].

3. Write the simplified expression:
[tex]\[ x + 3y + 2x - 4y = 3x - y \][/tex]

### c) Simplify the expression [tex]\(f + 2g - 3f + g + f - 5\)[/tex]

1. Identify like terms:
- Terms involving [tex]\(f\)[/tex]: [tex]\(f\)[/tex], [tex]\(-3f\)[/tex], and [tex]\(f\)[/tex].
- Terms involving [tex]\(g\)[/tex]: [tex]\(2g\)[/tex] and [tex]\(g\)[/tex].
- Constant term: [tex]\(-5\)[/tex].

2. Combine like terms:
- Combine terms with [tex]\(f\)[/tex]: [tex]\(f - 3f + f = -f\)[/tex].
- Combine terms with [tex]\(g\)[/tex]: [tex]\(2g + g = 3g\)[/tex].
- The constant term remains [tex]\(-5\)[/tex].

3. Write the simplified expression:
[tex]\[ f + 2g - 3f + g + f - 5 = -f + 3g - 5 \][/tex]

### Final Answers:
1. [tex]\(2a + b + a - 3b = 3a - 2b\)[/tex]
2. [tex]\(x + 3y + 2x - 4y = 3x - y\)[/tex]
3. [tex]\(f + 2g - 3f + g + f - 5 = -f + 3g - 5\)[/tex]

These are the simplified expressions after rearranging and combining like terms.
Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.