Q. Expand.Your answer should be a polynomial in standard form.(x−5)(x−4)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x−5)(x−4).First, multiply the first terms in each binomial: x×x=x2.
Multiply first terms: Multiply the outer terms in the binomials: x⋅(−4)=−4x.
Multiply outer terms: Multiply the inner terms in the binomials: (−5)×x=−5x.
Multiply inner terms: Multiply the last terms in each binomial: (−5)×(−4)=20.
Multiply last terms: Combine the like terms from the previous steps to write the polynomial in standard form.The like terms are −4x and −5x.So, x2−4x−5x+20 simplifies to x2−9x+20.