Simplified Expression: x^2 – 9x + 18

(x-6)(x-3)

To simplify the expression (x-6)(x-3), we will use the distribution property of multiplication over addition/subtraction

To simplify the expression (x-6)(x-3), we will use the distribution property of multiplication over addition/subtraction.

Step 1: Apply the distributive property to expand the expression.

(x-6)(x-3) becomes x(x-3) – 6(x-3).

Step 2: Multiply each term within the parentheses by x.

x(x-3) – 6(x-3) becomes x^2 – 3x – 6(x-3).

Step 3: Now, distribute -6 to both terms inside the parentheses.

x^2 – 3x – 6(x-3) becomes x^2 – 3x – 6x + 18.

Step 4: Combine like terms.

The final simplified expression is x^2 – 9x + 18.

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