Evaluate : \frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}

Decimals and Fractions Practice Test 1

Question : 5 of 40

Marks: +1, -0

Evaluate :

{(0.96)^3-(0.1)^3}/{(0.96)^2+0.096+(0.1)^2}

Solution:

{(0.96)^3-(0.1)^3}/{(0.96)^2+0.096+(0.1)^2}

={(0.96-0.1)[{(0.96)^2+0. 96×0.1+(0.1)^2}]}/{(0.96)^2+0. 96×0.1+(0.1)^2}

= 0.96 - 0.1= 0.86

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