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Mathematics - Algebraic Expressions - Ask NCERT

Question-Mathematics - Algebraic Expressions - Ask NCERT class 8 Algebraic Expressions and Identities with solution questions answer. All ncert questions Answers for class 8 subject Mathematics chapter Algebraic Expressions and Identities and topic Algebraic Expressions

Solve for x (in term of a and b):a/x-b + b/x-a = 2, x≠ a,b

Question 1. Asked on :21 November 2022:01:23:27 PM

Solve for x (in term of a and b):

a/x-b + b/x-a = 2, x≠ a,b

-Added by Master Purushottam See More Answers Mathematics » Algebraic Expressions

Answer:

Master Purushottam

 a(x-a) + b(x-b) 
(x-b) (x-a)
 = 2

cross multiplying both the sides 

a(x-a) + b(x-b) = 2[x2-(a+b)x+ ab]

ax- a2 + bx -b2  = 2x2 -2(a+b)x + 2ab

2x2 -3(a+b)x + (a+b)2 = 0 

2x2 -2(a+b)x -(a+b)x + (a+b)2 = 0

[2x- (a+b) ] [x-(a+b)] = 0

        

x = a + b, a + b2 

-Answered by Master Purushottam On 09 June 2022:10:46:59 AM


Subtract: 3a (a + b + c ) – 2 b (a – b + c) from 4c ( – a + b + c )

Question 2. Asked on :21 November 2022:01:09:57 PM

Subtract: 3a (a + b + c ) – 2 b (a – b + c) from 4c ( – a + b + c )

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva
x3 + y3 +z3 - 3xyz = (x + y + z)(x2 + y2 + z2 - xy - yz- zx)

-Answered by Shruti Srivastva On 05 August 2020:05:57:19 PM


Prove that:(x-y)3 = x3 - y3 - 3xy(x-y) 

Question 3. Asked on :18 November 2022:04:11:33 PM

Prove that:

(x-y)3 = x3 - y3 - 3xy(x-y) 

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva

(x-y)3 = x- y3 - 3xy(x-y) 

L.H.S: (x - y)3

= (x - y) (x - y) (x - y) 

= (x - y) (x2 - 2xy + y2)

= x(x- 2xy + y2) - y (x- 2xy + y2)

= x3- 2x2y + xy2 - x2y + 2xy2 - y3

= x3- 3x2y + 3xy2 - y3

= x3- 3xy(x - y) - y3

= x- y- 3xy(x-y) 

LHS = RHS 

Hence Proved

-Answered by Shruti Srivastva On 05 August 2020:05:55:27 PM


Prove the identity (x+y)3 = x3 + y3 + 3xy(x+y)

Question 4. Asked on :18 November 2022:01:35:49 PM

Prove the identity (x+y)3 = x+ y3 + 3xy(x+y)

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva
(x+y)3 = x3 + y3 + 3xy(x+y)

-Answered by Shruti Srivastva On 05 August 2020:05:54:00 PM


(x+a)(x+b) = x2 (a+b)x + ab

Question 5. Asked on :18 November 2022:01:28:51 PM

(x+a)(x+b) = x2 (a+b)x + ab

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva

(x+a)(x+b) = x2 + (a+b)x + ab

L.H.S = (x + a) (x + b) 

= x(x + b) + a(x + b) 

= x+ xb + xa + ab 

= x+ (a + b)x + ab 

L.H.S = R.H.S 

Hence Proved

-Answered by Shruti Srivastva On 05 August 2020:05:50:31 PM


Write the identity (a - b)2 = a2-2ab + b2

Question 6. Asked on :18 November 2022:01:23:25 PM

Write the identity (a - b)2 = a2-2ab + b2

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva

 (a-b)2 = a2 - 2ab + b2

L.H.S = (a - b)2= (a - b) (a - b) 

      = a(a - b) - b(a - b) 

      = a2 - ab - ab + b2

      = a2 - 2ab + b2

L.H.S = R.H.S 

Proved 

-Answered by Shruti Srivastva On 05 August 2020:05:48:29 PM


Proof the identity (a+b)2= a2 + 2ab + b2

Question 7. Asked on :18 November 2022:01:21:25 PM

Proof the identity (a+b)2= a+ 2ab + b2

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva

 (a+b)2=   (a+b)(a+b)

           = a(a+b) + b(a+b)

           = a2 + ab + ba + b2

              = a2 + 2ab + b2

-Answered by Shruti Srivastva On 05 August 2020:05:43:50 PM


Write the identity 1?

Question 8. Asked on :18 November 2022:01:20:44 PM

Write the identity 1?

-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions

Answer:

Shruti Srivastva
(a+b)2 = a2 + 2ab + b2

-Answered by Shruti Srivastva On 05 August 2020:05:42:16 PM


Simplify combining like terms(1) 21b - 32 +7b - 20b

Question 9. Asked on :18 November 2022:01:16:49 PM

Simplify combining like terms

(1) 21b - 32 +7b - 20b

-Added by Master Purushottam See More Answers Mathematics » Algebraic Expressions

Answer:

Nishant Verma

 21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Nishant Verma On 17 October 2019:02:37:18 PM

Answer:

Shivang Gupta

  21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Shivang Gupta On 25 August 2019:03:19:08 PM

Answer:

Master Purushottam

  21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Master Purushottam On 22 August 2019:09:00:32 PM

Answer:

Akki chauhan

  21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Akki Chauhan On 10 January 2019:10:54:03 AM

Answer:

Himanshi Verma

 21b - 32 + 7b - 20b

=(21b+7b -20b) - 32

=8b - 32 Answer

-Answered by Himanshi Verma On 07 January 2019:11:57:04 PM

Answer:

ATP Admin

    21b - 32 + 7b - 20b 

= 21b + 7b - 20b - 32 

= 28b - 20b - 32 

= 8b - 32 Answer

-Answered by ATP Admin On 07 January 2019:05:03:13 PM


Find the sum : 3p2q2 - 4pq + 5, - 10p2q2, 15 + 9pq + 7p2q2

Question 10. Asked on :18 November 2022:01:19:03 PM

Find the sum : 3p2q2 - 4pq + 5, - 10p2q2, 15 + 9pq + 7p2q2

-Added by Master Purushottam See More Answers Mathematics » Algebraic Expressions

Answer:

Nishant Verma

3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2 

= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15 

= 10p2q2 - 10p2q2 + 5pq + 20 

= 5pq + 20

-Answered by Nishant Verma On 17 October 2019:02:37:38 PM

Answer:

Master Purushottam

 3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2 

= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15 

= 10p2q2 - 10p2q2 + 5pq + 20 

= 5pq + 20

-Answered by Master Purushottam On 22 August 2019:09:00:43 PM

Answer:

Akki chauhan

 3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2 

= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15 

= 10p2q2 - 10p2q2 + 5pq + 20 

= 5pq + 20 Answer

-Answered by Akki Chauhan On 10 January 2019:10:54:27 AM

Answer:

Himanshi Verma

  3p2q2 - 4pq + 5 + (-10p2q2) + 15 + 9pq + 7p2q2 

= 3p2q2 + 7p2q2 - 10p2q2 + 9pq - 4pq + 5 + 15 

= 10p2q2 - 10p2q2 + 5pq + 20 

= 5pq + 20 Answer

-Answered by Himanshi Verma On 07 January 2019:11:41:18 PM


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