Questions: Simplify: A^2 + A - 4 + B^2 + A - B + A^2 + 1 4A + 4 2A^2 + 2A + B^2 - B - 3 3A^2 - 3 2A^2 + 2A - 3

Transcript text: Simplify: $A^{2}+A-4+B^{2}+A-B+A^{2}+1$ \[ \begin{array}{l} 4 A+4 \\ 2 A^{2}+2 A+B^{2}-B-3 \\ 3 A^{2}-3 \\ 2 A^{2}+2 A-3 \end{array} \]

Solution

Solution Steps

To simplify the given expression, we need to combine like terms. The expression is $A^{2} + A - 4 + B^{2} + A - B + A^{2} + 1$. We will group and combine the terms involving $A$, $B$, and the constants separately.

Step 1: Combine Like Terms

First, we simplify the given expression by combining like terms. The given expression is: \[ A^{2} + A - 4 + B^{2} + A - B + A^{2} + 1 \]

Step 2: Group Similar Terms

Group the terms involving $A$, $B$, and constants: \[ (A^{2} + A^{2}) + (A + A) + B^{2} - B + (-4 + 1) \]

Step 3: Simplify Each Group

Simplify each group of terms: \[ 2A^{2} + 2A + B^{2} - B - 3 \]