Simplify : \frac{(2.3)^3-0.027}{(2.3)^2+0.69+0.09}

Decimals and Fractions Practice Test 2

Question : 13 of 40

Marks: +1, -0

Simplify :

{(2.3)^3-0.027}/{(2.3)^2+0.69+0.09}

Solution:

{(2.3)^3-0.027}/{(2.3)^2+0.69+0.09}

={(2.3)^3- (0.3)^3}/{(2.3)^2+2.3×0.3+(0.3)^2}

={(2.3-0.3)[(2.3)^2+2.3×0.3+(0.3)^2]}/[(2.3)^2+2.3×0.3+(0.3)^2]

=2.3-0.3=2

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