Question

14 If 2a - 3b = 3 and ab = 2, find the value of 8a3 - 27b3.
1
Godthalutes of​

Answer 1

Answer:

given 2a - 3b =3 & ab = 2

now

$8 {a}^{3} - 27 {b}^{3} = ( {2a)}^{3} - ( {3b})^{3} =$

$( {2a - 3b})^{3} - 3 \times 2a \times 3b(2a - 3b) = {3}^{3} - 18 \times 2 \times 3 = 27 - 108 = - 81$

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