We are given the following expression:
[tex]\mleft(\frac{1}{2}\mright)\mleft(9.1-5\mright)^2+5\mleft(7.2+2\mright)^2[/tex]To simplify this expression we will first add the terms inside the parenthesis:
[tex]\frac{1}{2}(14.1)^2+5(9.2)^2[/tex]Now, we will solve the exponents:
[tex]\frac{1}{2}(198.81)+5(84.64)[/tex]Now we solve the products:
[tex]99.41+423.2[/tex]Now we solve the addition:
[tex]522.61[/tex]therefore, the expression reduced to 522.61
