IDNLearn.com is your reliable source for expert answers and community insights. Discover the information you need quickly and easily with our reliable and thorough Q&A platform.
Sagot :
Certainly! Let's simplify the given expression step by step.
Given expression:
[tex]\[ [e - 3d - e] + [2c - 3d + 2e] \][/tex]
### Step 1: Simplify the first bracket
First, we observe the expression inside the first set of brackets: [tex]\( e - 3d - e \)[/tex].
- Combine the terms involving [tex]\( e \)[/tex]:
[tex]\[ e - e - 3d = 0 - 3d = -3d \][/tex]
So, the first bracket simplifies to [tex]\( -3d \)[/tex].
### Step 2: Simplify the second bracket
Next, let's examine the expression inside the second set of brackets: [tex]\( 2c - 3d + 2e \)[/tex].
- There are no like terms to combine here.
So, the second bracket remains as [tex]\( 2c - 3d + 2e \)[/tex].
### Step 3: Combine the simplified expressions
Now, we combine the simplified expressions from both brackets:
[tex]\[ -3d + (2c - 3d + 2e) \][/tex]
### Step 4: Combine like terms
Combine like terms in the combined expression:
- For [tex]\( d \)[/tex]:
[tex]\[ -3d - 3d = -6d \][/tex]
- The other terms [tex]\( 2c \)[/tex] and [tex]\( 2e \)[/tex] have no like terms to combine with.
Thus, the final simplified expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
So, the simplified form of the given expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
Given expression:
[tex]\[ [e - 3d - e] + [2c - 3d + 2e] \][/tex]
### Step 1: Simplify the first bracket
First, we observe the expression inside the first set of brackets: [tex]\( e - 3d - e \)[/tex].
- Combine the terms involving [tex]\( e \)[/tex]:
[tex]\[ e - e - 3d = 0 - 3d = -3d \][/tex]
So, the first bracket simplifies to [tex]\( -3d \)[/tex].
### Step 2: Simplify the second bracket
Next, let's examine the expression inside the second set of brackets: [tex]\( 2c - 3d + 2e \)[/tex].
- There are no like terms to combine here.
So, the second bracket remains as [tex]\( 2c - 3d + 2e \)[/tex].
### Step 3: Combine the simplified expressions
Now, we combine the simplified expressions from both brackets:
[tex]\[ -3d + (2c - 3d + 2e) \][/tex]
### Step 4: Combine like terms
Combine like terms in the combined expression:
- For [tex]\( d \)[/tex]:
[tex]\[ -3d - 3d = -6d \][/tex]
- The other terms [tex]\( 2c \)[/tex] and [tex]\( 2e \)[/tex] have no like terms to combine with.
Thus, the final simplified expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
So, the simplified form of the given expression is:
[tex]\[ 2c - 6d + 2e \][/tex]
We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Find reliable answers at IDNLearn.com. Thanks for stopping by, and come back for more trustworthy solutions.