Instructions

What value will come in the place of the question mark (?) in each of the following questions.

Question 123

$$\frac{(589+187)^{2}-(589-187)^{2}}{589\times187}$$=?

Solution

The given expression is of the form $$\frac{(a+b)^2-(a-b)^2}{a*b}$$
$$(a+b)^2-(a-b)^2 = a^2+b^2+2ab - (a^2-2ab+b^2) = 4ab$$
Hence, the given expression equals $$\frac{(a+b)^2-(a-b)^2}{a*b} = \frac{4ab}{ab}=4$$

So, the correct option is option (a)

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$$\frac{(589+187)^{2}-(589-187)^{2}}{589\times187}$$=?

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