Algebraic Identities Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan Chapter-13. We provide step by step Solutions of Exercise / lesson-13 Algebraic Identities for ICSE Class-8 RS Aggarwal Mathematics.
Our Solutions contain all type Questions of Exe-13 A, Exe-13 B, Exe-13 C, Exe-13 D (MCQ) with Notes to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-8 Mathematics.
Algebraic Identities Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan Chapter-13
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Important Algebraic Identities
- (a + b)2 = a2 + 2ab + b2
- (a – b)2 = a2 – 2ab + b2
- (a + b) (a – b) = a2 – b2
- (x + a) (x + b) = x2 + (a + b) x + ab
- (x + a) (x – b) = x2 + (a – b) x – ab
- (x – a) (x + b) = x2 – (a – b) x – ab
- If x is a variable and m, n are positive integers, then (xm × xn) = x(m+n) Thus, x2 × x4 = x(2+4) = x6
- If x is a variable and m, n are positive integers such that m > n, then (xm ÷ xn) = xm-n. Thus, x9 ÷ x4 = x9-4 = x5
- Product of two monomials = (Product of their coefficients) × (Product of their variables)
- Division of two monomials = (Division of their coefficients) × (Division of their variables)
Applying Identities
The above identities are useful in carrying out squares and products of algebraic expressions. They provide us with easy alternative methods to calculate products of numbers and so on.
EXE-13 A, Algebraic Identities Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan
Find the following product
Question 1:
(i) (x + 5) (x + 7)
(ii) (b + 2) (b + 9)
(iii) (c + 2) …………
(iv) …………..
Question 2:
…………………
………………..
……………….
Question 10:
(i) (2a² + 3b²) (3a² + 2b²)
(ii) (x² + 5y²) (y² – 2x²)
(iii) (3c² – 4d²) (4c² – 3d²)
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EXE-13 B, Algebraic Identities Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan
Find the following product
Question 1:
(i) (y + 9) (y – 9)
(ii) (4 + b) (4 -b)
(iii) ……….
(iv) …………
Question 2:
………………
……………….
…………………
Question 7:
Using the identity (a + b) (a – b) = (a² – b²), evaluate the following :
(i) 88 x 112
(ii) 153 x 167
(iii) ……….
(iv)…………
(v) ………..
EXE-13 C, Algebraic Identities Class-8 RS Aggarwal ICSE Mathematics Goyal Brothers Prakashan
Question 1:
Expand :
(i) (x + 3)²
(ii) (2a + 7)²
(iii)………….
…………………
Question 2:
……………………
……………………….
……………………..
Question 18:
Find the value of :
(i) 36x² + 49y² + 84xy, when x + 3 and y = 6
(ii) 25x² + 16y² – 40xy, when x = 6 and y = 7
MCQs, EXE-13 D, ICSE Mathematics Goyal Brothers Prakashan
Multiple Choice Questions
Choose the correct option in each of the following:
Question 1:
If (x + 1/x) = 3, then ………..
………………..
Question 2:
………………
……………..
……………….
………………
Question 12:
If (x + 1/x) = 17/4, then the value of (x – 1/x) is ………..
…………………
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