Advertisements
Advertisements
प्रश्न
If 3x + 2y = 9 and xy = 3, find : 27x3 + 8y3.
बेरीज
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
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
If `"a"^2+ 1/"a"^2=23`, find : `"a" +1/"a"`
If a + b = 6 and ab = 8, find: a3 + b3.
Find : `"a"^3+1/"a"^3`, if `"a" +1/"a"=5`.
Find:
`a^3-1/a^3`, if `a -1/a = 4`.
If `2"x"-1/(2"x")=4`, find : `4"x"^2+1/(4"x"^2)`
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 `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 3x – 4y = 5 and xy = 3, find : 27x3 – 64y3.
