Advertisements
Advertisements
प्रश्न
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
Advertisements
उत्तर
Let x and y be two numbers, then x – y = 5 and xy = 14
∴ x3 − y3 = (x − y)3 + 3xy(x − y)
= (5)3 + 3 × 14 × 5
= 125 + 210
= 335
APPEARS IN
संबंधित प्रश्न
If a+b=5 and ab = 6, find a2 + b2
If a – b = 6 and ab = 16, find a2 + b2
If a2 + b2 = 29 and ab = 10, find : a − b
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
Find: a2 + b2 + c2, if a + b + c = 9 and ab + bc + ca = 24
If a + b = 6 and ab = 8, find: a3 + b3.
Find : `"a"^3+1/"a"^3`, if `"a" +1/"a"=5`.
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.
If 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
