Find the value of:

The correct answer is Option (1) → 100

The numerator is a difference of two squares, \(a^2-b^2=(a+b)(a-b)\), and the denominator is \(a+b\), so the expression reduces to \(a-b\).

• Factorising the numerator: \(\displaystyle \frac{275^2-175^2}{275+175}=\frac{(275+175)(275-175)}{275+175}\)

• Cancelling \(275+175\) leaves \(275-175=100\)