Simplify x(18-2x)(10-2x)

Problem

x*(18−2*x)*(10−2*x)

Solution

1. Expand the two binomials (18−2*x) and (10−2*x) using the FOIL method.

(18−2*x)*(10−2*x)=18*(10)+18*(−2*x)−2*x(10)−2*x*(−2*x)

2. Multiply the individual terms within the expansion.

180−36*x−20*x+4*x2

3. Combine the like terms −36*x and −20*x

4*x2−56*x+180

4. Distribute the remaining x into the quadratic expression.

x*(4*x2−56*x+180)=x*(4*x2)+x*(−56*x)+x(180)

5. Simplify the final expression by performing the multiplication.

4*x3−56*x2+180*x

Final Answer

x*(18−2*x)*(10−2*x)=4*x3−56*x2+180*x

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