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[tex]$c^2+2cd+dz$[/tex]
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Response:
Correct the expression and provide context.

Given the expression:

[tex]\[ c^2 + 2cd + dz \][/tex]

Determine its simplified form or provide an appropriate context if necessary.



Answer :

GinnyAnswer
To evaluate the algebraic expression [tex]\(c^2 + 2cd + dz\)[/tex], we need to follow these steps:

1. Identify the Values of Variables:
Let's assume the values provided for the variables are:
- [tex]\(c = 1\)[/tex]
- [tex]\(d = 1\)[/tex]
- [tex]\(z = 1\)[/tex]

2. Calculate Each Term Individually:
- First Term: [tex]\(c^2\)[/tex]
[tex]\[ c^2 = 1^2 = 1 \][/tex]

- Second Term: [tex]\(2cd\)[/tex]
[tex]\[ 2 \cdot c \cdot d = 2 \cdot 1 \cdot 1 = 2 \][/tex]

- Third Term: [tex]\(dz\)[/tex]
[tex]\[ d \cdot z = 1 \cdot 1 = 1 \][/tex]

3. Add the Results of Each Term Together:
Now, sum all the terms:
[tex]\[ c^2 + 2cd + dz = 1 + 2 + 1 \][/tex]

4. Compute the Final Result:
Adding these values together:
[tex]\[ 1 + 2 + 1 = 4 \][/tex]

Therefore, the value of the expression [tex]\(c^2 + 2cd + dz\)[/tex] when [tex]\(c = 1\)[/tex], [tex]\(d = 1\)[/tex], and [tex]\(z = 1\)[/tex] is:
[tex]\[ \boxed{4} \][/tex]

Additionally, the individual terms are:
- [tex]\(c^2 = 1\)[/tex]
- [tex]\(2cd = 2\)[/tex]
- [tex]\(dz = 1\)[/tex]

Thus, the complete results are:
[tex]\[ (1, 2, 1, 4) \][/tex]

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