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Simplify 2.46×2.46−1.46×1.462.46−1.46\frac{2.46 \times 2.46 - 1.46 \times 1.46}{2.46 - 1.46}2.46−1.462.46×2.46−1.46×1.46​ and select the mos
Question

Simplify 2.46×2.461.46×1.462.461.46\frac{2.46 \times 2.46 - 1.46 \times 1.46}{2.46 - 1.46} and select the most appropriate fraction.​​

A.

392100\frac{392}{100}​​

B.

​​39210000\frac{392}{10000}​​

C.

39210\frac{392}{10}​​

D.

3921000\frac{392}{1000}​​

Correct option is A

Given:

2.46×2.461.46×1.462.461.46\frac{2.46 \times 2.46 - 1.46 \times 1.46}{2.46 - 1.46} 

Formula Used: 

a2b2=(a+b)(ab)a^2-b^2 = (a+b)(a-b) 

Solution: 

2.46×2.461.46×1.462.461.46 =(2.46)2(1.46)22.461.46 =(2.46+1.46)(2.461.46)2.461.46 =2.46+1.46 =3.92=392100\frac{2.46 \times 2.46 - 1.46 \times 1.46}{2.46 - 1.46} \\ \ \\ = \frac{(2.46)^2 - (1.46)^2}{2.46 - 1.46} \\ \ \\ =\frac{(2.46+1.46)\cancel{(2.46-1.46)}}{\cancel{2.46 - 1.46}} \\ \ \\ =2.46+1.46 \\ \ \\ =3.92 = \frac{392}{100}​​

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