Advertisements
Advertisements
प्रश्न
Expand the following:
`(4 - 1/(3x))^3`
Advertisements
उत्तर
`(4 - 1/(3x))^3 = (4)^3 + (-1/(3x))^3 + 3(4)(-1/(3x))(4 - 1/(3x))` ...[Using identity, (a – b)3 = a3 – b3 + 3a(– b)(a – b)]
= `64 - 1/(27 x^3) - 4/x(4 - 1/(3x))`
= `64 - 1/(27x^3) - 16/x + 4/(3x^2)`
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(3a – 7b – c)2
Write the following cube in expanded form:
`[3/2x+1]^3`
Evaluate the following using suitable identity:
(998)3
Write in the expanded form: (ab + bc + ca)2
Write in the expand form: `(2x - y + z)^2`
Simplify (a + b + c)2 + (a - b + c)2
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
(99)3
Evaluate of the following:
1043 + 963
If x = 3 and y = − 1, find the values of the following using in identify:
(9y2 − 4x2) (81y4 +36x2y2 + 16x4)
If a + b + c = 9 and a2+ b2 + c2 =35, find the value of a3 + b3 + c3 −3abc
If x + \[\frac{1}{x}\] = then find the value of \[x^2 + \frac{1}{x^2}\].
The product (a + b) (a − b) (a2 − ab + b2) (a2 + ab + b2) is equal to
Use identities to evaluate : (998)2
Use the direct method to evaluate :
(2a+3) (2a−3)
Expand the following:
(a + 3b)2
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If x + y + z = 12 and xy + yz + zx = 27; find x2 + y2 + z2.
If `49x^2 - b = (7x + 1/2)(7x - 1/2)`, then the value of b is ______.
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
