Q. Expand.Your answer should be a polynomial in standard form.(x−2)(x−6)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x−2)(x−6).First, multiply the first terms in each binomial: x×x=x2.Next, multiply the outer terms: x×(−6)=−6x.Then, multiply the inner terms: (−2)×x=−2x.Finally, multiply the last terms: (−2)×(−6)=12.
Multiply first terms: Combine like terms from the results of the multiplication.We have x2 from the first terms, −6x and −2x from the outer and inner terms, and 12 from the last terms.Combine −6x and −2x to get −8x.So, the expression becomes x2−8x+12.