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

 Exercise 5 B

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

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Find the products

Question 1

(i) $-3 x^{2} y$ by $-5 x y^{2}$

(ii) $\frac{-3}{8} x^{4} y z$ by $-16 a^{2} y^{4} b^{3}$

(iii) $\left(\frac{-17}{8} x^{3} y^{2}\right) \times\left(\frac{-16}{51} x^{2} y\right)$

Sol :

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Question 2

$(-2 x y)\left(-3 x^{3} y^{2}\right)\left(-\frac{1}{6} x^{2} y^{7}\right)$

Sol :

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Question 3

$\left(\frac{5}{2} x^{2} y^{3}\right) \times\left(-y^{2} z\right) \times\left(-2 x^{3} y z^{7}\right) \times\left(\frac{-1}{5} x y z\right)$

Sol :

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Question 4

Find the value : (i) $\left(-10 m^{2} n^{6}\right) \times\left(-20 m n^{15}\right)$ for m=1.2 and n=-1.

Sol :

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Question 5

-4(5 y+7)

Sol :

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Question 6

-6(-m-3)

Sol :

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Question 7

$-2\left(2 x^{2}+3 x y-4 y^{2}\right)$

Sol :

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Question 8

$2 y\left(-y^{2}+3 y-4\right)$

Sol :

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Question 9

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

Sol :

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Question 10

$-2 c^{2}\left(4 c^{3}-10 c^{2}-8 c+9\right)$

Sol :

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Question 11

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

Sol :

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Question 12

100 x(0.01 x-0.19 y z)

Sol :

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Simplify :

Question 13

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

Sol :

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Question 14

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

Sol :

Multiple Choice Questions (MCQs)

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Question 15

The degree of $\left(-\frac{1}{20} x^{4} y^{3}\right) \times\left(-5 x^{7} y^{2}\right)$ is

(a) 11

(b) 5

(c) 16

(d) 6

Sol :

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Question 16

Simplify : 

$x y^{2}(-2 x)(3 x y)\left(-4 x^{2} y\right)$ -$\left(\frac{1}{8} x^{2}\right)(-24 x y)\left(-\frac{4}{5} x^{2}\right)\left(15 y^{3}\right)$

(a) 1

(b) $x^{10} y^{8}$

(c) $-12 x^{5} y^{4}$

(d) $-12 x^{10} y^{8}$

Sol :

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Question 17

$42 a^{2}-8 a(a-1)-7 a(1+5 a)+a(a-1)$ equals

(a) $15 a^{2}$

(b) -16a

(c) 0

(d) $15 a^{2}-16 a$

Sol :