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
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:
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
Question 2. Asked on :21 November 2022:01:09:57 PM
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:57:19 PM
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:
(x-y)3 = x3 - y3 - 3xy(x-y)
L.H.S: (x - y)3
= (x - y) (x - y) (x - y)
= (x - y) (x2 - 2xy + y2)
= x(x2 - 2xy + y2) - y (x2 - 2xy + y2)
= x3- 2x2y + xy2 - x2y + 2xy2 - y3
= x3- 3x2y + 3xy2 - y3
= x3- 3xy(x - y) - y3
= x3 - y3 - 3xy(x-y)
LHS = RHS
Hence Proved
-Answered by Shruti Srivastva On 05 August 2020:05:55:27 PM
Question 4. Asked on :18 November 2022:01:35:49 PM
Prove the identity (x+y)3 = x3 + y3 + 3xy(x+y)
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:54:00 PM
Question 5. Asked on :18 November 2022:01:28:51 PM
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
(x+a)(x+b) = x2 + (a+b)x + ab
L.H.S = (x + a) (x + b)
= x(x + b) + a(x + b)
= x2 + xb + xa + ab
= x2 + (a + b)x + ab
L.H.S = R.H.S
Hence Proved
-Answered by Shruti Srivastva On 05 August 2020:05:50:31 PM
Question 6. Asked on :18 November 2022:01:23:25 PM
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
(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
Question 7. Asked on :18 November 2022:01:21:25 PM
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
(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
Question 8. Asked on :18 November 2022:01:20:44 PM
-Added by Shruti Srivastva See More Answers Mathematics » Algebraic Expressions
Answer:
-Answered by Shruti Srivastva On 05 August 2020:05:42:16 PM
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:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Nishant Verma On 17 October 2019:02:37:18 PM
Answer:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Shivang Gupta On 25 August 2019:03:19:08 PM
Answer:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Master Purushottam On 22 August 2019:09:00:32 PM
Answer:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Akki Chauhan On 10 January 2019:10:54:03 AM
Answer:
21b - 32 + 7b - 20b
=(21b+7b -20b) - 32
=8b - 32 Answer
-Answered by Himanshi Verma On 07 January 2019:11:57:04 PM
Answer:
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
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:
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:
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:
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:
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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