Question 103

What is the value of $$\ (203+107)^{2}-(203 - 107)^{2}\ $$?

Solution

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Expression = $$\ (203+107)^{2}-(203 - 107)^{2}\ $$

Let $$x=(203+107)$$ and $$y=(203-107)$$

=> $$x^2-y^2=(x+y)(x-y)$$

= $$[(203+107)+(203-107)][(203+107)-(203-107)]$$

= $$406\times214=86884$$

=> Ans - (B)

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