Write the following cube in expanded form:- [3/2x+1]^3 - Mathematics

Advertisements
Advertisements

Write the following cube in expanded form:- `[3/2x+1]^3`

 

Advertisements

Solution

`[3/2x+1]^3 = [3/2x]^3 + (1)^3 +3(3/2x)(1)(3/2x+1)`

                 `= 27/8x^3+1+9/2x(3/2x+1)`

                 `= 27/8x^3+1+27/4x^2+9/2x`

                 `= 27/8x^3+27/4x^2+9/2x+1`

 

  Is there an error in this question or solution?
Chapter 2: Polynomials - Exercise 2.5 [Page 49]

APPEARS IN

NCERT Mathematics Class 9
Chapter 2 Polynomials
Exercise 2.5 | Q 6.3 | Page 49

Video TutorialsVIEW ALL [1]

RELATED QUESTIONS

Evaluate the following product without multiplying directly:- 104 × 96


Write the following cube in expanded form:- (2a – 3b)3 


Evaluate the following using suitable identities:- (998)3 


Factorise :- 8a3 + b3 + 12a2b + 6ab2 


Factorise :- 8a3 – b3 – 12a2b + 6ab2


Evaluate the following using identities:

(0.98)2


If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`


if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`


Simplify the following products:

`(m + n/7)^3 (m - n/7)`


Prove that a2 + b2 + c2 − ab − bc − ca is always non-negative for all values of a, b and c


Write in the expanded form:

`(a/(bc) + b/(ca) + c/(ab))^2`


If \[x + \frac{1}{x} = 3\], calculate  \[x^2 + \frac{1}{x^2}, x^3 + \frac{1}{x^3}\] and \[x^4 + \frac{1}{x^4}\]


Simplify of the following:

\[\left( x + \frac{2}{x} \right)^3 + \left( x - \frac{2}{x} \right)^3\]


If x = 3 and y = − 1, find the values of the following using in identify:

 (9y− 4x2) (81y4 +36x2y2 + 16x4)


If a + b = 8 and ab = 6, find the value of a3 + b3


If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc


If \[x + \frac{1}{x} = 3\] then \[x^6 + \frac{1}{x^6}\] = 

 


If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] = 


75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to


(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to


If x + y = `7/2  "and xy" =5/2`  ; find :  x - y  and x2 - y2


Use direct method to evaluate the following products :
(x + 8)(x + 3)


Use the direct method to evaluate the following products :
(a – 8) (a + 2)


Use the direct method to evaluate the following products :
(3x – 2y) (2x + y)


Use the direct method to evaluate :
(x+1) (x−1)


Use the direct method to evaluate :
(4+5x) (4−5x)


Evaluate: `(3"x"+1/2)(2"x"+1/3)`


Evaluate: (4 − ab) (8 + ab)


Evaluate: (5xy − 7) (7xy + 9) 


Evaluate: `(2"x"-3/5)(2"x"+3/5)`


Evaluate: 20.8 × 19.2


Expand the following:
(a + 3b)2


Find the squares of the following: 
(2a + 3b - 4c)


Evaluate the following without multiplying:
(103)2


Evaluate the following without multiplying:
(999)2


Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401


If `"a"  + 1/"a" = 6;`find `"a"  - 1/"a"`


If 2x + 3y = 10 and xy = 5; find the value of 4x2 + 9y2


If `"p"  + (1)/"p" = 6`; find : `"p"^4 + (1)/"p"^4`


Simplify:
(x + 2y + 3z)(x2 + 4y2 + 9z2 - 2xy - 6yz - 3zx)


Share
Notifications



      Forgot password?
Use app×