Question

3x-2y=11,XY=12,find 27x³-8y³​

Answer 1

Answer:

3

Step-by-step explanation:

3. chic Rx Dutchman fix Rx TC to ot

Answer 2

Step-by-step explanation:

Here is your answer...✌

GIVEN THAT,

3x - 2y = 11 -----(1)

xy = 12 -----(2)

Cubing both sides in eq(1)

We get

(3x - 2y)³ = 11³

(3x)³ - (2y)³ - 3(3x)(2y) (3x - 2y) = 11³

27x³ - 8y³ - 18xy × 11 = 11³ __ [from (1)]

27x³ - 8y³ - 18×12×11 = 11³ __ [from(2)]

27x³ - 8y³ = 11³ + 18×12×11

= 11 (11² + 18×12)

= 11 (121 + 216)

= 11 × 337

= 3707

Hence,

27x³ - 8y³ = 3707