Question

The cube of the difference between two given natural numbers is 1000, while the product of these two given numbers is 56. Find the positive difference between the cubes of these two given numbers.

Q: Answer-The cube of the difference between two given natural numbers is 1000, while the product of these two...

1st natural number x 2nd natural number y x - y3 1000 x - y 31000 10 1 squaring both sides x - y 100 x2y2-2xy 100 x y 100 112 212 Now, x y x y 2xy 212 112 324 18 2 Now Eq 1 Eq 2. x-yxy 101828 2x 28 x14 y4 Now positive difference between the cubes 143-43 2744-64 2680.