Simplify the expressions and evaluate them as directed: (i) `x(x-3)+2` for `x=1` (ii) `3y(2y-7)-3(y-4)-63` for `y=2`

Explanation

Let's solve the given expressions step by step.

### Part (i): Simplify and evaluate \( x(x-3) + 2 \) for \( x = 1 \)

1. **Write the expression**:
\[ x(x - 3) + 2 \]

2. **Distribute \( x \) across \( (x - 3) \)**:
\[ x^2 - 3x + 2 \]

3. **Substitute \( x = 1 \)** into the simplified expression:
\[ 1^2 - 3(1) + 2 \]

4. **Calculate \( 1^2 \)**:
\[ 1 - 3 + 2 \]

5. **Perform the arithmetic**:
\[ 1 - 3 = -2 \]
\[ -2 + 2 = 0 \]

6. **Final result**:
\[ \text{The value of the expression is } 0. \]