Advertisements
Advertisements
प्रश्न
Simplify the following products:
`(m + n/7)^3 (m - n/7)`
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:
(2x – y + z)2
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
If \[x - \frac{1}{x} = 5\] ,find the value of \[x^3 - \frac{1}{x^3}\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{3}{x} - \frac{x}{3} \right) \left( \frac{x^2}{9} + \frac{9}{x^2} + 1 \right)\]
If x = 3 and y = − 1, find the values of the following using in identify:
\[\left( \frac{5}{x} + 5x \right)\] \[\left( \frac{25}{x^2} - 25 + 25 x^2 \right)\]
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If \[a^2 + \frac{1}{a^2} = 102\] , find the value of \[a - \frac{1}{a}\].
If \[x + \frac{1}{x}\] 4, then \[x^4 + \frac{1}{x^4} =\]
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
If \[x^4 + \frac{1}{x^4} = 194,\] then \[x^3 + \frac{1}{x^3} =\]
Evalute : `((2x)/7 - (7y)/4)^2`
If a - b = 0.9 and ab = 0.36; find:
(i) a + b
(ii) a2 - b2.
Use the direct method to evaluate :
(xy+4) (xy−4)
Evaluate: (2a + 0.5) (7a − 0.3)
If x + y = 1 and xy = -12; find:
x2 - y2.
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Factorise the following:
9x2 + 4y2 + 16z2 + 12xy – 16yz – 24xz
Simplify (2x – 5y)3 – (2x + 5y)3.
