Simplify (x-2)(x-3)

Problem

(x−2)*(x−3)

Solution

1. Apply the FOIL method to multiply the two binomials by distributing each term in the first set of parentheses to each term in the second set.

2. Multiply the First terms of each binomial.

(x)*(x)=x2

3. Multiply the Outer terms of the binomials.

(x)*(−3)=−3*x

4. Multiply the Inner terms of the binomials.

(−2)*(x)=−2*x

5. Multiply the Last terms of each binomial.

(−2)*(−3)=6

6. Combine the results into a single expression.

x2−3*x−2*x+6

7. Combine like terms by adding the coefficients of the x terms.

−3*x−2*x=−5*x

Final Answer

(x−2)*(x−3)=x2−5*x+6

Want more problems? Check here!