Question

X square + y square = 68 and x-y=6 then find x cube - ycube

Answer 1

Answer:

Step-by-step explanation:

x square plus y square is 68

X is 8

y is 2

8 cube is 512

2 cube is 8

answer is 504

Answer 2

Step-by-step explanation:

x square + y square =68 , X-Y=6 , X cube - Y cube =?

x square + y square = (x-y)square +2xy

68 = 6 square + 2xy

68 = 36 + 2xy

68 - 36 = 2xy

32 = 2xy

32÷2 = xy

16 = xy

xy = 16

then,

X cube - Y cube = (x-y)cube + 3xy(x-y)

= (6) cube + 3×16 (6)

= 216 + 48×6

= 216 + 288

= 504