Question
Evaluate the following :$(5.45)^3 + (3.55)^3$
✓
Answer
$(5.45)^3 + (3.55)^3$
$= (5.45 + 3.55)^3 - 3(5.45)(3.55)(5.45 + 355)$
$= (9)^3 - 3(4 + 1.45)(4 - 1.45)(9)$
$= 81 - 3(16 - (1.45)^2)(9)$
$= 81 - 27(16 - 2.1025)$
$= 81 - 27 \times 13.8975$
$= 81 - 522.3825$
$= 206.6175.$
$= (5.45 + 3.55)^3 - 3(5.45)(3.55)(5.45 + 355)$
$= (9)^3 - 3(4 + 1.45)(4 - 1.45)(9)$
$= 81 - 3(16 - (1.45)^2)(9)$
$= 81 - 27(16 - 2.1025)$
$= 81 - 27 \times 13.8975$
$= 81 - 522.3825$
$= 206.6175.$
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