Question

If 2x + 3y = 13 and xy =6, find the value of 8x cube + 27y cube


Please answer me​

Answer 1

Step-by-step explanation:

$2x + 3y = 13 \\ \\ xy = 6 \\ \\ 8 {x}^{3} + 27 {y}^{3} = (2x + 3y)(4 {x}^{2} - 6xy + 9 {y}^{2} ) \\ \\ \: \: \: \: \: \: = (2x + 3y)( {(2x + 3y)}^{2} - 18xy) \\ \\ \: \: \: \: \: \: = 13( {13}^{2} - 18 \times 6) \\ \\ \: \: \: \: \: \: = 13 \times (169 - 108) \\ \\ \: \: \: \: \: \: = 13 \times 61 \\ \\ \: \: \: \: \: \: = 793$

Answer 2

see the attachment...

hope it will help you ✌️