Question

if 2x + 3y = 13 and xy = 6, find the value of 8x^3 + 27y^3.



Plz answer it step by step.​

Answer 1

Step-by-step explanation:

given:- 2X+3Y=13. ------1

XY=6. -----2

8X^3+27Y^3=? -----3

from eq(2) we can say that

xy=2×3 or x=2 and y=3

by submitting x and y in eq(1)

we get :- 2(2)+3(3)=13

4+9=13

13=13 (its proved!)

by substituting X and Y in eqn(3)

we get. 8(2)^3+27(3)^3

8(8)+27(27)

64+729

=793.