Advertisements
Advertisements
प्रश्न
Find the following product:
\[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
Advertisements
उत्तर
Given \[\left( 3 + \frac{5}{x} \right) \left( 9 - \frac{15}{x} + \frac{25}{x^2} \right)\]
We shall use the identity `a^3 + b^3 = (a+b) (a^2 = ab + b^2)`,
we can rearrange the `(3 + 5/x)(9 - 15/x + 25/x^2)`as
`= (3+ 5/x) [(3)^2 - (3)(5/x)+ (5/x)^2]`
` = (3)^2 + (5/x)^3`
` = (3) xx (3) xx (3) + (5/x ) xx (5/x)xx (5/x)`
` = 27 + 125/x^3`
Hence the Product value of ` (3+ 5/x)(9- 15/x + 25/x^2)`is ` 27+ 125/x^3`.
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(2x – y + z)2
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Write the following cube in expanded form:
`[x-2/3y]^3`
Give possible expression for the length and breadth of the following rectangle, in which their area are given:
| Area : 25a2 – 35a + 12 |
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 3x2 – 12x |
Evaluate following using identities:
991 ☓ 1009
Write in the expanded form:
`(a + 2b + c)^2`
Write the expanded form:
`(-3x + y + z)^2`
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
Evaluate:
483 − 303 − 183
If a − b = 5 and ab = 12, find the value of a2 + b2
If a + b + c = 9 and ab + bc + ca = 23, then a2 + b2 + c2 =
If a + b + c = 0, then \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab} =\]
If a + `1/a`= 6 and a ≠ 0 find :
(i) `a - 1/a (ii) a^2 - 1/a^2`
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Evaluate the following without multiplying:
(95)2
If x + y = 9, xy = 20
find: x2 - y2.
Factorise the following:
4x2 + 20x + 25
