Question: $$( x + 9 ) ( x - 3 )$$

Solution

The expression to simplify is \((x + 9)(x - 3)\). To simplify: Expand the expression using the distributive property (FOIL method for binomials): First, multiply the first terms: \[ x \cdot x = x^2 \] Next, multiply the outer terms: \[ x \cdot (-3) = -3x \] Then, multiply the inner terms: \[ 9 \cdot x = 9x \] Finally, multiply the last terms: \[ 9 \cdot (-3) = -27 \] Combine all the terms: \[ x^2 - 3x + 9x - 27 \] Simplify by combining like terms: \[ x^2 + 6x - 27 \] The simplified expression is \(x^2 + 6x - 27\).