(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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