Advertisements
Advertisements
Question
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
Sum
Advertisements
Solution
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
shaalaa.com
Application of Formulae
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
If `"a"^2+ 1/"a"^2=11`, find : `"a" -1/"a"`
If a + b + c = 10 and a2 + b2 + c2 = 38, find : ab + bc + ca
Find: a2 + b2 + c2, if a + b + c = 9 and ab + bc + ca = 24
Find : a + b + c, if a2 + b2 + c2 = 83 and ab + bc + ca = 71.
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
If `2"x"-1/(2"x")=4`, find: `8"x"^3-1/(8"x"^3)`
If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`
If a + b = 8 and ab = 15, find a3 + b3.
If 5x – 4y = 7 and xy = 8, find : 125x3 – 64y3.
