Simplify (9-x^2)(3-x)

Problem

(9−x2)*(3−x)

Solution

1. Identify the first factor as a difference of squares, which follows the pattern a2−b2=(a−b)*(a+b)

2. Factor the expression 9−x2 into (3−x)*(3+x)

3. Substitute the factored form back into the original expression to get (3−x)*(3+x)*(3−x)

4. Combine the identical factors (3−x) by writing them as a square.

Final Answer

(9−x2)*(3−x)=(3−x)2*(3+x)

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