Simplify the following expression. $\frac{(375+125)^2-(125-375)^2}{375 \times 375-125 \times 125}$

$\frac{15}{8}$ $\frac{3}{2}$ $\frac{27}{28}$ $\frac{3}{4}$

$\frac{3}{2}$

$\frac{(375+125)^2-(125-375)^2}{375 \times 375-125 \times 125}$ a2 + b2 = (a + b)(a - b) = \(\frac{500^2 - (-250)^2}{375^2 - 125^2}\) = \(\frac{250 \times 750}{500 \times 250}\) = \(\frac{750}{500}\) = \(\frac{3}{2}\)