If 2x-3y=10. and xy=16 find the value of8x³-27y³

8x³-27y³=3880

Step-by-step explanation:

2x-3y=10

xy=16

8x³-27y³=?

as we know that

(a-b) ³=a³-b³-3ab (a-b)

now we substitue the formula according to our question

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

(10) ³=8x³-27y³-18 (16) (10)

1000=8x³-27y³-2880

1000+2880=8x³-27y³

3880=8x³-27y³