Simplify the following expression.
$\frac{(375+125)^2-(125-375)^2}{375 \times 375-125 \times 125}$
Answer & explanation
Correct answer: option 2
$\frac{(375+125)^2-(125-375)^2}{375 \times 375-125 \times 125}$
a2 + b2 = (a + b)(a - b)
= \(\frac{500^2 - (-250)^2}{375^2 - 125^2}\)
= \(\frac{250 \times 750}{500 \times 250}\)
= \(\frac{750}{500}\) = \(\frac{3}{2}\)