Question

If 2a - 3b = 3 and ab = 2, find the value of 8a³ - 27b³
Please anewer this question​

Answer 1

Answer:

8a³-27b³

(2a-3b)³=8a³-27b³-18ab(2a-3b)

Formula used

(a+b)³=a³-b³-3ab(a-b)

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(3)³=8a³-27b³-18(2)(3)

27=8a³-27b³-108

27+108=8a³-27b³

135=8a³-27b³

Answer 2

Answer:135

Step-by-step explanation:

Given

2a - 3b = 3

ab = 2

To find

8a^3 - 27b^3

Now breakdown it as

(2a) ^3 - (3b) ^3

Now applying the formula of

a^3 - b^3 = (a-b) ^3 + 3ab(a-b)

Substituting the value we get

(2a) ^3 - (3b) ^3 = (2a-3b) ^3 + 3*2(2a-3b)

(2a) ^3 - (3b) ^3 = 3^3 + 3*12*3

(2a) ^3 - (3b) ^3 = 27+ 108

(2a) ^3 - (3b) ^3 = 135

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