Advertisements
Advertisements
प्रश्न
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
Advertisements
उत्तर
We have
`(m + n/7)^3 (m - n/7)`
`= (m + n/7)(m + n/7)(m + n/7)(m - n/7)`
`= (m + n/7)^2 ((m)^2 - (n/7)^2) ...[∵ (a + b)(a + b) = (a + b)^2 & (a + b)(a - b) + a^ - b^2 ]`
`= (m + n/7)^2 [m^2 - n^2/49]`
`∴ (m + n/7)^3(m - n/7) = (m = n/7)^2 [m^2 - n^2/49]`
APPEARS IN
संबंधित प्रश्न
Evaluate the following product without multiplying directly:
95 × 96
Expand the following, using suitable identity:
(3a – 7b – c)2
Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`
If 2x + 3y = 8 and xy = 2 find the value of `4x^2 + 9y^2`
Simplify (2x + p - c)2 - (2x - p + c)2
If a + b = 8 and ab = 6, find the value of a3 + b3
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
If 3x + 4y = 16 and xy = 4, find the value of 9x2 + 16y2.
Use the direct method to evaluate :
(ab+x2) (ab−x2)
Evaluate: (2 − z) (15 − z)
Evaluate: (5xy − 7) (7xy + 9)
Evaluate: (6 − 5xy) (6 + 5xy)
Evaluate: 203 × 197
Expand the following:
(a + 4) (a + 7)
Simplify by using formula :
(a + b - c) (a - b + c)
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `x + (1)/x = "p", x - (1)/x = "q"`; find the relation between p and q.
Simplify:
(x + y - z)2 + (x - y + z)2
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
If a + b + c = 9 and ab + bc + ca = 26, find a2 + b2 + c2.
