Question
The difference between the two numbers is $5$ and their products are $14.$ Find the difference between their cubes.
✓
Answer
Let $x$ and $y$ be two numbers, then $x – y = 5$ and $xy = 14\therefore x^3 − y^3 = (x − y)^3 + 3xy(x − y)$
$= (5)^3 + 3 \times 14 \times 5$
$= 125 + 210$
$= 335$
$= (5)^3 + 3 \times 14 \times 5$
$= 125 + 210$
$= 335$
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