| 3:42 without a calculator, relying heavily on (a² - b²) = (a+b)(a-b)
for example, 67² - 3² = 70 × 64
so 67² = 70 × 64 + 9
That does make sense, I've just explained it really badly. Basically you're looking to multiply by a multiple of ten, which makes things much simpler. It works best around 100: e.g. 97² = 94 * 100 + 9 = 9409. |