\frac{(0.137+0.098)^2-(0.137-0.098)^2}{0.137\times0.098} is simplified to

Decimals and Fractions Practice Test 2

Question : 17 of 40

Marks: +1, -0

{(0.137+0.098)^2-(0.137-0.098)^2}/{0.137×0.098}

is simplified to

Solution:

(a+b)^2-(a-b)^2

=(a^2+b^2+2ab)-(a^2+b^2-2ab)

=4ab

Here

a=0.137,b=0.098

∴{(0.137+0.098)^2-(0.137-0.098)^2}/{0.137×0.098}

={4×0.137×0.098}/{0.137×0.098}=4

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