Q. Expand.Your answer should be a polynomial in standard form.(x−2)(x−1)=
Apply distributive property: Apply the distributive property (also known as the FOIL method for binomials) to expand the expression (x−2)(x−1). First, multiply the first terms in each binomial: x×x=x2.
Multiply first terms: Multiply the outer terms in the binomials: x×(−1)=−x.
Multiply outer terms: Multiply the inner terms in the binomials: (−2)×x=−2x.
Multiply inner terms: Multiply the last terms in each binomial: (−2)×(−1)=2.
Multiply last terms: Combine the like terms from steps 2 and 3: −x+(−2x)=−3x.
Combine like terms: Add up all the terms from steps 1, 5, and 4 to get the polynomial in standard form: x2−3x+2.