Advertisements
Advertisements
प्रश्न
If 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
योग
Advertisements
उत्तर
27x3 – 64y3 = (3x)3 – (4y)3
= (3x − 4y)3 (3x − 4y)3 + 3 (3x) (4y) (3x − 4y) ......[ ∵ a3 − b3 = (a − b)3 + 3ab(a − b)]
= (5)3 + 36(xy) (3x − 4y)
= 125 + 36 (3) (5)
= 125 + 540
= 665
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 a2 + b2= 10 and ab = 3; find : a – b
If a2 + b2= 10 and ab = 3; find : a + b
If `"a" + 1/"a"=3`, find `"a"^2+1/"a"^2`
If `"a" - 1/"a"=4`, find : `"a"^2+1/"a"^2`
If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`
If `"a"^2+ 1/"a"^2=11`, find : `"a" -1/"a"`
If a + b = 6 and ab = 8, find: a3 + b3.
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
If a + b + c = 9 and ab + bc + ca = 15, find: a2 + b2 + c2.
