Simplify (2x-1)(x^2-4x+3)

Problem

(2*x−1)*(x2−4*x+3)

Solution

1. Distribute the first term of the binomial, 2*x to every term in the trinomial.

2*x*(x2−4*x+3)=2*x3−8*x2+6*x

2. Distribute the second term of the binomial, −1 to every term in the trinomial.

−1*(x2−4*x+3)=−x2+4*x−3

3. Combine the results of the distribution into a single expression.

2*x3−8*x2+6*x−x2+4*x−3

4. Group and combine the like terms for x2 and x

2*x3+(−8*x2−x2)+(6*x+4*x)−3

5. Simplify the coefficients to reach the final polynomial.

2*x3−9*x2+10*x−3

Final Answer

(2*x−1)*(x2−4*x+3)=2*x3−9*x2+10*x−3

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