Q. Expand. Your answer should be a polynomial in standard form.(x−7)(x−3)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (x−7)(x−3).First, multiply the first terms in each binomial: x×x=x2.
Multiply first terms: Multiply the outer terms in the binomials: x⋅(−3)=−3x.
Multiply outer terms: Multiply the inner terms in the binomials: (−7)×x=−7x.
Multiply inner terms: Multiply the last terms in each binomial: (−7)×(−3)=21.
Multiply last terms: Combine the like terms from the multiplication to write the polynomial in standard form.The like terms are −3x and −7x.−3x−7x=−10x.So, the expanded form is x2−10x+21.