Enhancing Education through Tax Relief Act of 2009 - Amends the Internal Revenue Code to make permanent: (1) the tax deduction for certain expenses of elementary and secondary school teachers; (2) the expanded tax deduction for charitable contributions of book inventories to public schools; (3) the expanded tax deduction for charitable contributions of computer technology or equipment to schools, charities, and public libraries; (4) the tax credit for holders of qualified zone academy bonds; and (5) the tax deduction for qualified tuition and related expenses.