S.chand books class 8 maths solution chapter 13 Algebric Identities exercise 13C

Exercise 13 C

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Q1| Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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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 :

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Q2| Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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Question 2

Find the following products

(i) (x+y+z)(x+y-z)

(ii) (l+m+n)(l-m+n)

Sol :

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Q3 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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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) 

Sol :

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Q4 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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Question 4

Simplify :

(a+b)(a-b)+(b+c)(b-c)+(c+a)(c-a)

Sol :

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Q5 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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Question 5

Find the value of:

(i) 102×98

(ii) 505×495

(iii) 1.97×2.03

(iv) 200.4×199.96

Sol :

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Q6 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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Question 6

Evaluate :

(i) 1003²-997²

(ii) (282)²-(18)²

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Q7 | Ex-13C | Class 8 | S.Chand | Composite maths | chapter 13 | Algebric Identities | myhelper

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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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