Advertisements
Advertisements
प्रश्न
Simplify.
(3r − 2k)3 + (3r + 2k)3
सरल रूप दीजिए
Advertisements
उत्तर
It is known that formula,
(a + b)3 = a3 + 3a2b + 3ab2 + b3
(a − b)3 = a3 − 3a2b + 3ab2 − b3
Given: (3r − 2k)3 + (3r + 2k)3
= (3r)3 − (2k)3 − 3 × (3r)2 × 2k + 3 × 3r × (2k)2 + (3r)3 + (2k)3 + 3 × (3r)2 × 2k + 3 × 3r + (2k)2
= 27 r3 − 8 k3 − 54 rk + 36 rk2 + 27 r3 + 8 k3 + 54 r2k + 36 rk2
= 54 r3 + 72 rk2
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Expand.
`((5x)/y + y/(5x))^3`
Find the cube of : 3a- 2b
Use property to evaluate : 93 - 53 - 43
If a ≠ 0 and `a - 1/a` = 3 ; find `a^2 + 1/a^2`
If a ≠ 0 and `a - 1/a` = 4 ; find : `( a^4 + 1/a^4 )`
If X ≠ 0 and X + `1/"X"` = 2 ; then show that :
`x^2 + 1/x^2 = x^3 + 1/x^3 = x^4 + 1/x^4`
Find the cube of: `4"p" - (1)/"p"`
If a + b = 5 and ab = 2, find a3 + b3.
Evaluate the following :
(3.29)3 + (6.71)3
Expand: (x + 3)3.
