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

Using the formula, [∵ (x \- y) 3 = x 3 \- y 3 \- 3xy(x \- y)] So, ⇒ (3x \- 4y) 3 = (3x) 3 \- (4y) 3 \- 3 3x 4y(3x \- 4y) ⇒ (3x \- 4y) 3 = 27x 3 \- 64y 3 \- 36xy(3x \- 4y) Putting the value (3x \- 4y) = 5 and xy = 3, we get ⇒ (5) 3 = 27x 3 \- 64y 3 \- 36 3 5 ⇒ 125 = 27x 3 \- 64y 3 \- 540 ⇒ 27x 3 \- 64y 3 = 125 \+ 540 ⇒ 27x 3 \- 64y 3 = 665 Hence, the value of 27x 3 \- 64y 3 is 665.

If a + b + c = 9 and ab + bc + ca = 15, find: a² + b² + c².

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If a + b + c = 11 and a² + b² + c² = 81, find: ab + bc + ca.

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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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Mathematics

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

Identities

Related Questions

If a + b + c = 9 and ab + bc + ca = 15, find: a² + b² + c².

If a + b + c = 11 and a² + b² + c² = 81, find: ab + bc + ca.

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

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

Mathematics

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

Identities

Related Questions

If a + b + c = 9 and ab + bc + ca = 15, find: a2 + b2 + c2.

If a + b + c = 11 and a2 + b2 + c2 = 81, find: ab + bc + ca.

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

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

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

If a + b + c = 9 and ab + bc + ca = 15, find: a² + b² + c².

If a + b + c = 11 and a² + b² + c² = 81, find: ab + bc + ca.

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

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