luct of: \( (x-2)(x-3) \)

To multiply the expression \( (x-2)(x-3) \), we can use the distributive property or the FOIL method (First, Outer, Inner, Last). When we apply it, we get: First: \( x \times x = x^2 \) Outer: \( x \times (-3) = -3x \) Inner: \( -2 \times x = -2x \) Last: \( -2 \times (-3) = 6 \) Now, combine all those terms: \( x^2 - 3x - 2x + 6 = x^2 - 5x + 6 \). So the product is \( x^2 - 5x + 6 \)! And just like that, you’ve turned a pair of factors into a lovely quadratic expression!