[\frac{8(3.75)^3+1}{(7.5)^2-6.5}] is simplified to

Decimals and Fractions Practice Test 2

Question : 23 of 40

Marks: +1, -0

[{8(3.75)^3+1}/{(7.5)^2-6.5}]

is simplified to

Solution:

[{8(3.75)^3+1}/{(7.5)^2-6.5}]

={(2×3.75)^3+1^3}/{(7.5)^2-6.5}

={(7.5)^3+1^3}/{(7.5)^2-6.5}

={(7.5+1)[(7.5)^2-7.5×1+1^2]}/{(7.5)^2-6.5}

={ 8.5× [(7.5)^2-7.5 +1 ]}/{(7.5)^2-6.5}

={ 8.5× [(7.5)^2-6.5 ]}/{(7.5)^2-6.5}=8.5

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