For the given expression, identify the terms, like terms, coefficients, and constant terms. Then simplify the expression:

Question

-2p - 8 + p + 3

Answer 1

Let's start by identifying the different components of the expression \(-2p - 8 + p + 3\).

Terms

The terms in the expression are:

1. \(-2p\)
2. \(-8\)
3. \(p\)
4. \(3\)

Like Terms

Like terms share the same variable part. In this case:

• The like terms with the variable \(p\) are \(-2p\) and \(p\).
• The constant terms (which do not have a variable) are \(-8\) and \(3\).

Coefficients

The coefficients are the numerical parts of the terms that contain variables:

• The coefficient of \(-2p\) is \(-2\).
• The coefficient of \(p\) is \(1\) (since \(p\) can be written as \(1p\)).

Constant Terms

The constant terms in the expression are:

• \(-8\)
• \(3\)

Simplifying the Expression

Now, let's simplify the expression by combining like terms:

1. Combine the \(p\) terms: \[ -2p + p = -2p + 1p = -1p = -p \]

2. Combine the constant terms: \[ -8 + 3 = -5 \]

Putting it all together, we have: \[ -p - 5 \]

Final Result

The simplified expression is: \[ -p - 5 \]