Simplify x(99-x)(66-2x)

Problem

x*(99−x)*(66−2*x)

Solution

1. Factor out the common factor of 2 from the third term (66−2*x)

x*(99−x)⋅2*(33−x)

2. Rearrange the expression to place the constant factor at the front.

2*x*(99−x)*(33−x)

3. Expand the product of the two binomials (99−x)*(33−x) using the FOIL method.

99⋅33−99*x−33*x+x2

4. Combine the like terms inside the parentheses.

3267−132*x+x2

5. Distribute the 2*x term into the resulting trinomial.

2*x*(x2−132*x+3267)

6. Multiply each term by 2*x to reach the final polynomial form.

2*x3−264*x2+6534*x

Final Answer

x*(99−x)*(66−2*x)=2*x3−264*x2+6534*x

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