Q. Expand.Your answer should be a polynomial in standard form.(6f−7)(8f−9)=
Apply distributive property: Apply the distributive property (also known as the FOIL method) to expand the expression (6f−7)(8f−9).First, multiply the first terms in each binomial: 6f×8f.
Multiply first terms: Multiply the outer terms in each binomial: 6f×−9.
Multiply outer terms: Multiply the inner terms in each binomial: −7×8f.
Multiply inner terms: Multiply the last terms in each binomial: −7×−9.
Multiply last terms: Combine the results from steps 1 to 4 to get the expanded form.First terms: 6f×8f=48f2.Outer terms: 6f×−9=−54f.Inner terms: −7×8f=−56f.Last terms: −7×−9=63.
Combine results: Add all the terms together and combine like terms to get the polynomial in standard form. 48f2−54f−56f+63.
Combine like terms: Combine the like terms −54f and −56f to get −110f.48f2−110f+63.