Advertisements
Advertisements
प्रश्न
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
योग
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
shaalaa.com
Application of Formulae
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
If a2 + b2 = 29 and ab = 10, find : a + b
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
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
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
If `3"x"+1/(3"x")=3`, find : `9"x"^2+1/(9"x"^2)`
If `3"x"+1/(3"x")=3`, find : `27"x"^3+1/(27"x"^3)`
If a2 + b2 = 41 and ab = 4, find : a – b
If a + b + c = 11 and a2 + b2 + c2 = 81, find : ab + bc + ca.
If 5x – 4y = 7 and xy = 8, find : 125x3 – 64y3.
