Decimals and Fractions Practice Test 2

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Question : 36 of 40

Marks: +1, -0

Simplify:

{8.96× 8.96× 8.96- 4.89× 4.89 ×4.89}/{8.96× 8.96+ 8.96 ×4.89 +4.89× 4.89 }

40.7
0.407
4.07
0.0407
407

Solution:

{8.96× 8.96× 8.96- 4.89× 4.89 ×4.89}/{8.96× 8.96+ 8.96 ×4.89 +4.89× 4.89 }

={( 8.96)^3-(4.89 )^3}/{(8.96)^2+8.96×4.89+(4.89)^2}

={(8.96-4.89)[{(8.96)^2+8.96×4.89+(4.89)^2}]}/[{(8.96)^2+8.96×4.89+(4.89)^2}]

= 8.96 - 4.89 = 4.07

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