FOIL the following expressions.
`(y+3)(y-6)`

Answer

To FOIL the expression \((y+3)(y-6)\), we will follow the steps of the FOIL method, which stands for First, Outer, Inner, and Last.

### Step-by-Step Solution:

1. **First**: Multiply the first terms of both binomials.
\[ y \cdot y = y^2 \]

2. **Outer**: Multiply the outer terms of the binomials.
\[ y \cdot (-6) = -6y \]

3. **Inner**: Multiply the inner terms of the binomials.
\[ 3 \cdot y = 3y \]

4. **Last**: Multiply the last terms of both binomials.
\[ 3 \cdot (-6) = -18 \]

5. **Combine all the results**:
\[ y^2 - 6y + 3y - 18 \]

6. **Combine like terms**:
\[ y^2 + (-6y + 3y) - 18 = y^2 - 3y - 18 \]

### Final Answer:
\[ (y+3)(y-6) = y^2 - 3y - 18 \]

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