Question 39

Which of the following is equal to $$\frac{(312)^2 - (126)^2}{(719)^2 - (281)^2}$$?

Solution

Using $$a^2 - b^2 = (a + b)(a - b)$$, the numerator is $$438 \times 186$$ and the denominator is $$1000 \times 438$$. Cancelling 438 gives $$\frac{186}{1000} = 0.186$$.

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