myhelper: S.chand Class 8 Maths Solution Chapter 6 Factorisation of Algebraic Expressions Exercise 6 D

Exercise 6 D

A. Which are perfect trinomial squares ? Write Yes or No.

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Question 1

$a^{2}+10 a+16$

Sol :

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Question 2

$b^{2}+14 b-49$

Sol :

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Question 3

$x^{2}-5 x+4$

Sol :

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Question 4

$x^{2}+10 x+25$

Sol :

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Question 5

$c^{2}-2 c d-d^{2}$

Sol :

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Question 6

$81 a^{2}-72 a b+16 b^{2}$

Sol :

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Question 7

$36 d^{2}+13 d x+x^{2}$

Sol :

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Question 8

$4 x^{2}+4 x+1$

Sol :

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Question 9

$49 m^{2}+140 m n+100 n^{2}$

Sol :

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Question 10

$16 b^{2}-20 b y+25 y^{2}$

Sol :

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Question 11

$25 x^{4}-60 x^{2} y^{2}+36 y^{4}$

Sol :

B. Fill in the missing term, making a perfect trinomial square :

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Question 12

$n^{2}+?+49$

Sol :

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Question 13

$x^{2}-?+25$

Sol :

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Question 14

$b^{2}-?+9$

Sol :

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Question 15

? + $16 x+64$

Sol :

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Question 16

$p^{2}-10 p q+$ ?

Sol :

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Question 17

$?-12 x+9$

Sol :

C. Factorise the following trinomials :

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Question 18

$a^{2}+2 a+1$

Sol :

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Question 19

$b^{2}+4 b+4$

Sol :

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Question 20

$y^{2}-8 y+16$

Sol :

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Question 21

$36-12 r+r^{2}$

Sol :

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Question 22

$81+18 x+x^{2}$

Sol :

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Question 23

$9 d^{2}-6 d+1$

Sol :

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Question 24

$1-8 a x+16 a^{2} x^{2}$

Sol :

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Question 25

$16 a^{2}-40 a b+25 b^{2}$

Sol :

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Question 26

$x^{2}+5 x+\frac{25}{4}$

Sol :

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Question 27

$49 x^{4}-168 x^{2} y^{2}+144 y^{4}$

Sol :

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Question 28

$a^{2}+a+\frac{1}{4}$

Sol :

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Question 29

$\frac{x^{2}}{4 y^{2}}-\frac{2}{3}+\frac{4 y^{2}}{9 x^{2}}$

Sol :

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Question 30

$\frac{x^{2}}{4 y^{2}}-\frac{1}{3}+\frac{y^{2}}{9 x^{2}}$

Sol :

D. Find the square root of the following trinomials :

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Question 31

$64-16 y+y^{2}$

Sol :

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Question 32

$144+24 x+x^{2}$

Sol :

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Question 33

$49 y^{2}-56 y+16$

Sol :

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Question 34

$64-176 x+121 x^{2}$

Sol :

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Question 35

$\frac{a^{2}}{b^{2}}+2+\frac{b^{2}}{a^{2}}$ .

Sol :

Multiple Choice Questions (MCQs)

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Question 36

Factorization of the polynomial $(x-y)^{2} a^{2}+2(x-y)(x+y) a b+(x+y)^{2} b^{2}$ gives

(a) $(a x-b y)(a x+b y)$

(b) $(a x+b y)(b x+a y)$

(c) $(a x-a y+b x+b y)^{2}$

(d) $(a x+a y+b x+b y)^{2}$

Sol :

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Question 37

The area of a square is $4 x^{2}+20 x+25$ . Which expression represents a side of the square ?

(a) $(2 x-5)$

(b) $(5-2 x)$

(c) $(2 x+5)$

(d) $\left.2 x^{2}+5\right)$

Sol :

High Order Thinking Skills (HOTS)

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Question 38

For what value of $c$ are the factors of $\left(x^{2}-c x+\frac{81}{16}\right)$ the same?

Sol :

S.chand Class 8 Maths Solution Chapter 6 Factorisation of Algebraic Expressions Exercise 6 D

Exercise 6 D

A. Which are perfect trinomial squares ? Write Yes or No.

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

Question 16

Question 17

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

Question 24

Question 25

Question 26

Question 27

Question 28

Question 29

Question 30

Question 31

Question 32

Question 33

Question 34

Question 35

Question 36

Question 37

Question 38

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