Answered

Welcome to Westonci.ca, the Q&A platform where your questions are met with detailed answers from experienced experts. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

Simplify the following expressions:

a. [tex]4a + 2b + 3a + 4b[/tex]

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

c. [tex]c + 3d - 2c + 2d[/tex]

d. [tex]2p - 3q - p + 4q[/tex]

e. [tex]-3x + 5y + 5x - 3y[/tex]

f. [tex]4f + 2g + h + 2f - g[/tex]

Sagot :

GinnyAnswer
Sure, let's simplify each expression step by step by combining like terms.

### a) Simplify [tex]\( 4a + 2b + 3a + 4b \)[/tex]

1. Combine the like terms involving [tex]\(a\)[/tex]:
[tex]\[ 4a + 3a = 7a \][/tex]

2. Combine the like terms involving [tex]\(b\)[/tex]:
[tex]\[ 2b + 4b = 6b \][/tex]

Thus, the simplified expression is:
[tex]\[ 7a + 6b \][/tex]

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

1. Combine the like terms involving [tex]\(a\)[/tex]:
[tex]\[ a + 2a = 3a \][/tex]

2. Combine the like terms involving [tex]\(b\)[/tex]:
[tex]\[ b - b = 0 \][/tex]

Thus, the simplified expression is:
[tex]\[ 3a \][/tex]

### c) Simplify [tex]\( c + 3d - 2c + 2d \)[/tex]

1. Combine the like terms involving [tex]\(c\)[/tex]:
[tex]\[ c - 2c = -c \][/tex]

2. Combine the like terms involving [tex]\(d\)[/tex]:
[tex]\[ 3d + 2d = 5d \][/tex]

Thus, the simplified expression is:
[tex]\[ -c + 5d \][/tex]

### d) Simplify [tex]\( 2p - 3q - p + 4q \)[/tex]

1. Combine the like terms involving [tex]\(p\)[/tex]:
[tex]\[ 2p - p = p \][/tex]

2. Combine the like terms involving [tex]\(q\)[/tex]:
[tex]\[ -3q + 4q = q \][/tex]

Thus, the simplified expression is:
[tex]\[ p + q \][/tex]

### e) Simplify [tex]\( -3x + 5y + 5x - 3y \)[/tex]

1. Combine the like terms involving [tex]\(x\)[/tex]:
[tex]\[ -3x + 5x = 2x \][/tex]

2. Combine the like terms involving [tex]\(y\)[/tex]:
[tex]\[ 5y - 3y = 2y \][/tex]

Thus, the simplified expression is:
[tex]\[ 2x + 2y \][/tex]

### f) Simplify [tex]\( 4f + 2g + h + 2f - g \)[/tex]

1. Combine the like terms involving [tex]\(f\)[/tex]:
[tex]\[ 4f + 2f = 6f \][/tex]

2. Combine the like terms involving [tex]\(g\)[/tex]:
[tex]\[ 2g - g = g \][/tex]

3. The term [tex]\(h\)[/tex] remains as it is since there are no other [tex]\(h\)[/tex] terms to combine with.

Thus, the simplified expression is:
[tex]\[ 6f + g + h \][/tex]

Here are the simplified expressions for each part:
a) [tex]\(7a + 6b\)[/tex]
b) [tex]\(3a\)[/tex]
c) [tex]\(-c + 5d\)[/tex]
d) [tex]\(p + q\)[/tex]
e) [tex]\(2x + 2y\)[/tex]
f) [tex]\(6f + g + h\)[/tex]
Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.