Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover the answers you need from a community of experts ready to help you with their knowledge and experience in various fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our 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]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.