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

Using the formula, [∵ (x \+ y) 3 = x 3 \+ y 3 \+ 3xy(x \+ y)] So, ⇒ (3x \+ 2y) 3 = (3x) 3 \+ (2y) 3 \+ 3 3x 2y(3x \+ 2y) ⇒ (3x \+ 2y) 3 = 27x 3 \+ 8y 3 \+ 18xy(3x \+ 2y) Putting the value (3x \+ 2y) = 9 and xy = 3, we get ⇒ (9) 3 = 27x 3 \+ 8y 3 \+ 18 3 9 ⇒ 729 = 27x 3 \+ 8y 3 \+ 486 ⇒ 27x 3 \+ 8y 3 = 729 \- 486 ⇒ 27x 3 \+ 8y 3 = 243 Hence, the value of 27x 3 \+ 8y 3 is 243.

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

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

Identities

Related Questions

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

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

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

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

Mathematics

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

Identities

Related Questions

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

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

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

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

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

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

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

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