The difference between two numbers is 5 and their product is 14. Find the difference between their cubes.

Let the two numbers be x and y. So, x \- y = 5 And, xy = 14 Using the formula, [∵ (x \- y) 3 = x 3 \- y 3 \- 3xy(x \- y)] So, ⇒ (x \- y) 3 = x 3 \- y 3 \- 3xy(x \- y) Putting the value (x \- y) = 5 and xy = 14, we get ⇒ (5) 3 = x 3 \- y 3 \- 3 14 5 ⇒ 125 = x 3 \- y 3 \- 210 ⇒ x 3 \- y 3 = 125 \+ 210 ⇒ x 3 \- y 3 = 335 Hence, the difference between their cubes is 335.

If 3x - 4y = 5 and xy = 3, find: 27x³ - 64y³

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If a + b = 8 and ab = 15, find: a³ + b³

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If 3x + 2y = 9 and xy = 3, find: 27x³ + 8y³

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If 5x - 4y = 7 and xy = 8, find: 125x³ - 64y³

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Mathematics

The difference between two numbers is 5 and their product is 14. Find the difference between their cubes.

Identities

Related Questions

If 3x - 4y = 5 and xy = 3, find: 27x³ - 64y³

If a + b = 8 and ab = 15, find: a³ + b³

If 3x + 2y = 9 and xy = 3, find: 27x³ + 8y³

If 5x - 4y = 7 and xy = 8, find: 125x³ - 64y³

Mathematics

The difference between two numbers is 5 and their product is 14. Find the difference between their cubes.

Identities

Related Questions

If 3x - 4y = 5 and xy = 3, find: 27x3 - 64y3

If a + b = 8 and ab = 15, find: a3 + b3

If 3x + 2y = 9 and xy = 3, find: 27x3 + 8y3

If 5x - 4y = 7 and xy = 8, find: 125x3 - 64y3

If 3x - 4y = 5 and xy = 3, find: 27x³ - 64y³

If a + b = 8 and ab = 15, find: a³ + b³

If 3x + 2y = 9 and xy = 3, find: 27x³ + 8y³

If 5x - 4y = 7 and xy = 8, find: 125x³ - 64y³