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)


Create a FREE account and get:

  • Download Maths Shortcuts PDF
  • 300+ previous papers with solutions PDF
  • 500+ Online Tests for Free

cracku

Boost your Prep!

Download App