Simplify 15./2 - 1) 10./5 + 51 0-10./2 + 51 412

Giving the expression
[tex](5\sqrt{2}-1)^2[/tex]Using the squared binomial
[tex](a-b)^2=a^2-2ab+b^2[/tex][tex](5\sqrt{2}-1)^2=(5\sqrt{2})^2-2(5\sqrt{2})(1)+1^2[/tex][tex](25*2)-10\sqrt{2})+1[/tex][tex]50-10\sqrt{2})+1[/tex][tex]51-10\sqrt{2}[/tex][tex]-10\sqrt{2}+51[/tex]Then the correct answer is Option C