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

 Exercise 5 C

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Question 1

Multiply :

(x+2)(x+5)

Sol :

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Question 2

(x-4)(x+9)

Sol :

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Question 3

(x-7)(x-9)

Sol :

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Question 4

$(x^2+5)(x^2-6)$

Sol :

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Question 5

$(5 x-3 y)(3 x+4 y)$

Sol :

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Question 6

$\left(5 x^{2}+2 y^{2}\right)\left(3 x^{2}-7 y^{2}\right)$

Sol :

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Question 7

$\left(3 x+\frac{5 y}{7}\right)\left(2 x-\frac{3 y}{7}\right)$

Sol :

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Question 8

$\left(\frac{1}{7} x-\frac{1}{8} y\right)\left(7 x^{2}-8 y^{2}\right)$

Sol :

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Question 9

$\left(a^{2}+b^{4}\right)\left(a^{2}-b^{2}\right)$

Sol :

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Question 10

Multiply $\left(4 x^{2}+3 y\right)$ by $\left(3 x^{2}-4 y\right)$ and verify the result for $x=1, y=2$

Sol :

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Question 11

Simplify :

(i) $\frac{2}{7}\left(14 x^{2}-21 y^{2}\right)\left(-5 x^{2}-3 y^{2}\right)$

(ii) $(2 x-3)(5 x+2)+(3 x-7)(4 x-1)$

Sol :

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Question 12

$(2 x+3)\left(3 x^{2}-x-2\right)$

Sol :

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Question 13

$(3 x-7)\left(5 x^{2}-2 x+3\right)$

Sol :

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Question 14

$\left(x^{2}-2\right)\left(9 x^{2}-2 x+5\right)$

Sol :

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Question 15

$(x-3)\left(x^{3}+3 x^{2}-7 x+1\right)$

Sol :

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Question 16

$(x+y-3)(4 x-7 y+2)$

Sol :

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Question 17

$\left(x^{2}-7 x+2\right)\left(x^{2}+5 x-4\right)$

Sol :

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Question 18

$(2 x+3)(3 x-2)(x-5)$

Sol :

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Question 19

Simplify :

$(3 x-4)\left(2 x^{2}-5 x+1\right)-(2 x-1)\left(3 x^{2}+7 x-5\right)$

Multiple Choice Questions (MCQs)

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Question 20

Which of the following products is equal to $x^{2}-5 x-6 ?$

(a) (x+1)(x-6)

(b) (x-2)(x-3)

(c) (x+2)(x-3)

(d) (x-1)(x-5)

Sol :

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Question 21

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

(a) $x^{3}-2 x^{2} y+2 x y^{2}-y^{3}$

(b) $x^{3}+y^{3}$

(c) $x^{3}-y^{3}$

(d) $x^{3}+2 x^{2} y-2 x y^{2}+y^{3}$

Sol :

High Order Thinking Skills (HOTS)

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Question 22

If (x+4)(x+1)-(x-1)(x-2)=0, what is the value of x ?

Sol :

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Question 23

'Write a polynomial that represents the product of three consecutive odd integers, the first one being $(2 x-1)$.

Sol :