What is the constant term in the sum of `(5x^(2)-7x+4)" and "(7x-8)`?

Answer

To find the constant term in the sum of the expressions \( (5x^2 - 7x + 4) \) and \( (7x - 8) \), we can follow these steps:

### Step 1: Write down the expressions
We start with the two expressions:
\[ 5x^2 - 7x + 4 \quad \text{and} \quad 7x - 8 \]

### Step 2: Add the expressions
Now, we will add the two expressions together:
\[ (5x^2 - 7x + 4) + (7x - 8) \]

### Step 3: Combine like terms
Next, we combine the like terms:
- The \(x^2\) term: \(5x^2\) (there is no other \(x^2\) term to combine with)
- The \(x\) terms: \(-7x + 7x = 0\) (these cancel each other out)
- The constant terms: \(4 - 8 = -4\)

So, the sum of the expressions is:
\[ 5x^2 + 0 - 4 = 5x^2 - 4 \]

### Step 4: Identify the constant term
The constant term in the expression \(5x^2 - 4\) is the term that does not contain the variable \(x\). Here, the constant term is:
\[ -4 \]

### Final Answer
Thus, the constant term in the sum of the expressions is:
\[ \boxed{-4} \]

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