Question
Evaluate the following :$(3.29)^3 + (6.71)^3$
✓
Answer
$(3.29)^3 + (6.71)^3$
$= (3.29 + 6.71)^3 - 3(3.29) (6.71) (3.029 + 6.71)$
$= (10)^3- 3(3.29) (6.71) (10)$
$= 1000 - 30 (5 - 1.71) (5 + 1.71)$
$= 1000 - 30 (5)^2 - (1.71)^2$
$= 1000 - 30 (25 - 2.9241)$
$= 1000 - 30 \times 22.0759$
$= 1000 - 662.277$
$= 337.723.$
$= (3.29 + 6.71)^3 - 3(3.29) (6.71) (3.029 + 6.71)$
$= (10)^3- 3(3.29) (6.71) (10)$
$= 1000 - 30 (5 - 1.71) (5 + 1.71)$
$= 1000 - 30 (5)^2 - (1.71)^2$
$= 1000 - 30 (25 - 2.9241)$
$= 1000 - 30 \times 22.0759$
$= 1000 - 662.277$
$= 337.723.$
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