Advertisements
Advertisements
प्रश्न
If 3x + 2y = 9 and xy = 3, find : 27x3 + 8y3.
योग
Advertisements
उत्तर
27x3 + 8y3 = (3x)3 + (2y)3
= (3x + 2y)3 − 3.3x . 2y (3x + 2y)
= (3x − 2y)3 − 18xy (3x + 2y)
= (9)3 − 18(3) (9)
= 729 − 486
= 243
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"^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
If a – b = 3 and ab = 10, find : a3 – b3.
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
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.
The difference between the two numbers is 5 and their products are 14. Find the difference between their cubes.
