Simplify : \frac{8.94\times 8.94 \times8.94- 3.56 \times3.56 \times3.56}{8.94\times8.94+8.94\times3.56+3.56\times3.56}

Decimals and Fractions Practice Test 3

Question : 10 of 40

Marks: +1, -0

Simplify :

{8.94× 8.94 ×8.94- 3.56 ×3.56 ×3.56}/{8.94×8.94+8.94×3.56+3.56×3.56}

Solution:

{8.94× 8.94 ×8.94- 3.56 ×3.56 ×3.56}/{8.94×8.94+8.94×3.56+3.56×3.56}

= {(8.94)^3-(3.56)^3}/{8.94×8.94+8.94×3.56+3.56×3.56 }

={(8.94-3.56)[(8.94)^2+8.94×3.56+(3.56)^2]}/[(8.94)^2+8.94×3.56+(3.56)^2]

= 8.94 - 3.56 = 5.38

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