If 5x - 4y = 7 and xy = 8, find: 125x^3 - 64y^3

Using the formula, [∵ (x \- y) 3 = x 3 \- y 3 \- 3xy(x \- y)] So, ⇒ (5x \- 4y) 3 = (5x) 3 \- (4y) 3 \- 3 5x 4y(5x \- 4y) ⇒ (5x \- 4y) 3 = 125x 3 \- 64y 3 \- 60xy(5x \- 4y) Putting the value (5x \- 4y) = 7 and xy = 8, we get ⇒ (7) 3 = 125x 3 \- 64y 3 \- 60 8 7 ⇒ 343 = 125x 3 \- 64y 3 \- 3,360 ⇒ 125x 3 \- 64y 3 = 343 \+ 3,360 ⇒ 125x 3 \- 64y 3 = 3,703 Hence, the value of 125x 3 \- 64y 3 is 3,703.

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

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Mathematics

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

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

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

Mathematics

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

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

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

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