S.chand Class 8 Maths Solution Chapter 5 Algebraic Expressions and Special Products Exercise 5 G

 Exercise 5 G

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Q1 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 1

Find the following products :

(i) (x+2)(x-2)

Sol :

(ii) $(d-8)(d+8)$

Sol :

(iii) $(5+9 m)(5-9 m)$

Sol :

(iv) $\left(x^{2}-y^{2}\right)\left(x^{2}+y^{2}\right)$

Sol :

(v) $\left(\frac{2}{5} a b-c\right)\left(\frac{2}{5} a b+c\right)$

Sol :

(vi) $\left(\frac{2}{b}-\frac{5}{c}\right)\left(\frac{2}{b}+\frac{5}{c}\right)$

Sol :

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Q2 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 2

(i) $(a+1)(a-1)\left(a^{2}+1\right)$

Sol :

(ii) $(a+x)(a-x)\left(a^{2}+x^{2}\right)$

Sol :

(iii) $\left(x-\frac{1}{x}\right)\left(x+\frac{1}{x}\right)\left(x^{2}+\frac{1}{x^{2}}\right)$

Sol :

(iv) $\left(x^{3}-\frac{1}{x^{3}}\right)\left(x^{3}+\frac{1}{x^{3}}\right)\left(x^{6}+\frac{1}{x^{6}}\right)$.

Sol :

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Q3 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 3

Using the identity for difference of two squares, find the values of :

(i) $18 \times 22$

(ii) $101 \times 99$

(iii) $(84)^{2}-(76)^{2}$

(iv) $(203)^{2}-(197)^{2}$

Sol :

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Q4 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 4

Find the value of $x$, if :

(i) $13 x=(58)^{2}-(45)^{2}$

(ii) $24 x=(99)^{2}-(87)^{2}$

Sol :

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Q5 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 5

Simplify :

(i) $179 \times 179-21 \times 21$

(ii) $1.62 \times 1.62-0.38 \times 0.38$

(iii) $\frac{297 \times 297-203 \times 203}{94}$ [Hint. $\left.94=297-203\right]$

(iv) $\frac{23.71 \times 23.71-16.29 \times 16.29}{0.742}$.

Sol :

Multiple Choice Questions (MCQs)

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Q6 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 6

$(1+x)\left(1+x^{2}\right)\left(1+x^{4}\right)\left(1+x^{8}\right)(1-x)$

(a) $1+x^{16}$

(b) $1-x^{16}$

(c) $x^{16}-1$

(d) $x^{8}+1$

Sol :

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Q7 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 7

$\frac{4.359 \times 4.359-1.641 \times 1.641}{4.359-1.641}=$ ?

(a) $6.3$

(b) 6

(c) $3.2$

(d) $4.6$

Sol :

High Order Thinking Skills (HOTS)

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Q8 | Ex-5G | Class 8 | SChand Composite Maths | Algebraic Expressions and Special Products | myhelper

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Question 8

$\frac{3.7 \times 3.7+2.3 \times 2.3+2 \times 3.7 \times 2.3}{4.6 \times 4.6-3.4 \times 3.4}$ equals

(a) $3 \frac{3}{4}$

(b) $4 \frac{3}{4}$

(c) $3 \frac{1}{4}$

(d) $3 \frac{1}{2}$

Sol :