Exercise 13 C
Q1| Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 1
Write down the following products.
(i) (y+2)(y-2)
(ii) (p+1)(p-1)
(iii) (x-4)(x+4)
(iv) (3b+7)(3b-7)
(v) (9a+10b)(9a-10b)
(vi) (5p2-7q)(5p2+7q)
(vii) (a2+b2)(a2-b2)
(viii) (ab-c)(ab+c)
(ix) $\left(\dfrac{1}{3}-5x\right)\left(\dfrac{1}{3}+5x\right)$
(x) (a2b3-x3y4)(a2b3+x3y4)
Sol :
Q2| Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 2
Find the following products
(i) (x+y+z)(x+y-z)
(ii) (l+m+n)(l-m+n)
Sol :
Q3 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 3
Simplify :
(i) (x+y)(x-y)(x2+y2)
Sol :
=(x2-y2)(x2+y2)
=(x2)2-(y2)2
=x4-y4
(ii) (2-x)(2+x)(4+x2)
Q4 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 4
Simplify :
(a+b)(a-b)+(b+c)(b-c)+(c+a)(c-a)
Sol :
Q5 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 5
Find the value of:
(i) 102×98
(ii) 505×495
(iii) 1.97×2.03
(iv) 200.4×199.96
Sol :
Q6 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 6
Evaluate :
(i) 10032-9972
(ii) (282)2-(18)2
Q7 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper
Question 7
Simplify :
(i) 6.73×6.73-3.37×3.37
(ii) $\dfrac{3.59\times 3.59-2.41\times 2.41}{3.59+2.41}$
(iii) $\dfrac{3532\times 3532-1458\times 1458}{3532+1458}$
(iv) $\dfrac{37.85\times 37.85-12.15\times 12.15}{37.85-12.15}$
Sol :
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