Important Question for Class 9 Maths Chapter 4 Exploring Algebraic Identities
Table of Contents
Practice Exercise 4.1
Using the identity (a + b)2 = a2 + 2ab + b2, expand the following:
सर्वसमिका (a + b)2 = a2 + 2ab + b2 का उपयोग करके निम्नलिखित का विस्तार कीजिए।
(i) (5x + 3y)2
(ii) (9a + 2b)2
(iii) (4m + 7n)2
(iv) (8p + 5q)2
(v) (6r + 11s)2
(vi) (2.5x + 1.2y)2
(vii) (3.4a + 0.8b)2
(viii) \(\left(\frac{1}{2}x + \frac{3}{4}y\right)^2\)
(ix) \(\left(\frac{5}{6}m + \frac{2}{3}n\right)^2\)
(x) \(\left(1.5p + \frac{1}{4}q\right)^2\)
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Question 2:
Using the same identity, find the values of the following:
उपर्युक्त सर्वसमिका का उपयोग करते हुए निम्नलिखित का मान ज्ञात कीजिए ।
(i) (36)2 (ii) (103)2 (iii) (45)2 (iv) (9.5)2 (v) \(\left(\frac{5}{2}\right)^2\)
Important Question for Class 9 Maths Chapter 4 Exploring Algebraic Identities
Practice Exercise 4.2
Question 1:
Factor completely:
पूर्णतः गुणनखंडन कीजिए:
(i) 25x2 + 30xy + 9y2
(ii) 49a2 + 70ab + 25b2
(iii) 16m2 + 40mn + 25n2
(iv) 64p2 + 48pq + 9q2
(v) 81r2 + 108rs + 36s2
(vi) \(\frac{1}{4}x^2\) + \(\frac{3}{5}xy\) + \(\frac{9}{25}y^2\)
(vii) \(\frac{9}{16}a^2\) + \(\frac{3}{4}ab\) + \(\frac{1}{4}b^2\)
Question 2:
Find the values of the following using the identity (a – b)2 = a2 – 2ab + b2.
सर्वसमिका (a – b)2 = a2 – 2ab + b2 का उपयोग करके निम्नलिखित के मान ज्ञात कीजिए।
(i) (98)2 (ii) (47)2 (iii) (196)2 (iv) (9.8)2 (v) \(\left(\frac{19}{20}\right)^2\)
Important Question for Class 9 Maths Chapter 4 Exploring Algebraic Identities
