{"id":597166,"date":"2022-04-30T06:18:19","date_gmt":"2022-04-30T06:18:19","guid":{"rendered":"https:\/\/www.indcareer.com\/schools\/?p=597166"},"modified":"2022-05-09T05:02:58","modified_gmt":"2022-05-09T05:02:58","slug":"selina-class-8-icse-solutions-mathematics-chapter-12-algebraic-identities","status":"publish","type":"post","link":"https:\/\/www.indcareer.com\/schools\/selina-class-8-icse-solutions-mathematics-chapter-12-algebraic-identities\/","title":{"rendered":"Selina Class 8 ICSE Solutions Mathematics : Chapter 12-\u00a0Algebraic Identities"},"content":{"rendered":"\n

Class 8: Maths Chapter 12 solutions. Complete Class 8 Maths Chapter 12 Notes.<\/p>\n\n\n\n

Selina Class 8 ICSE Solutions Mathematics : Chapter 12- Algebraic Identities<\/h2>\n\n\n\n

Selina 8th Maths Chapter 12, Class 8 Maths Chapter 12 solutions<\/p>\n\n\n\n

Exercise 12A<\/h3>\n\n\n\n

Question 1.
<\/strong>Use direct method to evaluate the following products :
(i) (x + 8)(x + 3)
(ii) (y + 5)(y \u2013 3)
(iii) (a \u2013 8)(a + 2)
(iv) (b \u2013 3)(b \u2013 5)
(v) (3x \u2013 2y)(2x + y)
(vi) (5a + 16)(3a \u2013 7)
(vii) (8 \u2013 b) (3 + b)
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 2.
<\/strong>Use direct method to evaluate :
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 3.
<\/strong>Evaluate :
\"Selina
Solution:
\"Selina<\/p>\n\n\n\n

Question 4.
<\/strong>Use the product (a + b) (a \u2013 b) = a2<\/sup> \u2013 b2<\/sup> to evaluate:
(i) 21 \u00d7 19
(ii) 33 \u00d7 27
(iii) 103 \u00d7 97
(iv) 9.8 \u00d7 10.2
(v) 7.7 \u00d7 8.3
(vi) 4.6 \u00d7 5.4
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 5.
<\/strong>Evaluate :
(i) (6 \u2013 xy) (6 + xy)
\"Selina
Solution:
<\/strong>\"Selina
\"Selina
\"Selina<\/p>\n\n\n\n

Exercise 12B<\/h3>\n\n\n\n

Question 1.
<\/strong>Expand :
(i) (2a + b)2<\/sup>
(ii) (a \u2013 2b)2<\/sup>
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 2.
<\/strong>Find the square of :
\"Selina
Solution:
<\/strong>\"Selina
\"Selina
\"Selina<\/p>\n\n\n\n

Question 3.
<\/strong>Evaluate:
Using expansion of (a + b)2<\/sup> or (a \u2013 b)2<\/sup>
(i) (208)2<\/sup>
(ii) (92)2<\/sup>
(iii)(415)2<\/sup>
(iv) (188)2<\/sup>
(v) (9.4)2<\/sup>
(vi) (20.7)2<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 4.
<\/strong>Expand :
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 5.
<\/strong>Find the cube of :
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Exercise 12C<\/h3>\n\n\n\n

Question 1.
<\/strong>If a  +b = 5 and ab = 6; find a2<\/sup> + b2<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 2.
<\/strong>If a \u2013 b = 6 and ab = 16; find a2<\/sup> + b2<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 3.
<\/strong>If a2<\/sup> + b2<\/sup> = 29 and ab = 10 ; find :
(i) a + b
(ii) a \u2013 b
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 4.
<\/strong>If a2<\/sup> + b2 <\/sup>= 10 and ab = 3; find :
(i) a \u2013 b
(ii) a + b
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 5.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 6.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 7.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 8.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 9.
<\/strong>If a + b + c = 10 and a2<\/sup> + b2<\/sup> + c2<\/sup> = 38; find ab + bc + ca
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 10.
<\/strong>Find a2<\/sup> + b2<\/sup> + c2<\/sup> ; if a + b + c = 9 and ab + bc + ca = 24
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 11.
<\/strong>Find a + b + c; if a2<\/sup> + b2<\/sup> + c2<\/sup> = 83 and ab + bc + ca = 71
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 12.
<\/strong>If a + b = 6 and ab=8; find a3<\/sup> + b3<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 13.
<\/strong>If a \u2013 b = 3 and ab = 10; find a3<\/sup> \u2013 b3<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 14.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 15.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 16.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 17.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 18.
<\/strong>The sum of the squares of two numbers is 13 and their product is 6. Find:
(i) the sum of the two numbers.
(ii) the difference between them.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Exercise 12D<\/h3>\n\n\n\n

Question 1.
<\/strong>Evaluate:
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 2.
<\/strong>Evaluate:
\"Selina
Solution:
<\/strong>\"Selina
\"Selina
\"Selina<\/p>\n\n\n\n

Question 3.
<\/strong>Find the square of :
\"Selina
Solution:
<\/strong>\"Selina
\"Selina<\/p>\n\n\n\n

Question 4.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 5.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 6.
<\/strong>If a2<\/sup> + b2<\/sup> = 41 and ab = 4, find :
(i) a \u2013 b
(ii) a + b
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 7.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 8.
<\/strong>\"Selina
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 9.
<\/strong>Expand :
(i) (3x \u2013 4y + 5z)2<\/sup>
(ii) (2a \u2013 5b \u2013 4c)2<\/sup>
(iii) (5x + 3y)3<\/sup>
(iv) (6a \u2013 7b)3<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 10.
<\/strong>If a + b + c = 9 and ab + bc + ca = 15, find: a2<\/sup> + b2<\/sup> + c2<\/sup>.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 11.
<\/strong>If a + b + c = 11 and a2<\/sup> + b2<\/sup> + c2<\/sup> = 81, find ab + bc + ca.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 12.
<\/strong>If 3x \u2013 4y = 5 and xy = 3, find : 27x3<\/sup> \u2013 64y3<\/sup>.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 13.
<\/strong>If a + b = 8 and ab = 15, find : a3<\/sup> + b3<\/sup>.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 14.
<\/strong>If 3x + 2y = 9 and xy = 3, find : 27x3<\/sup> + 8y3<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 15.
<\/strong>If 5x \u2013 4y = 7 and xy = 8, find : 125x3<\/sup> \u2013 64y3<\/sup>
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Question 16.
<\/strong>The difference between two numbers is 5 and their products is 14. Find the difference between their cubes.
Solution:
<\/strong>\"Selina<\/p>\n\n\n\n

Download PDF<\/strong><\/h2>\n\n\n\n

Selina Class 8 ICSE Solutions Mathematics : Chapter 12- Algebraic Identities<\/p>\n\n\n\n

Download PDF<\/strong>: Selina Class 8 ICSE Solutions Mathematics : Chapter 12-\u00a0Algebraic Identities PDF<\/a><\/p>\n\n\n\n

Chapterwise Selina Publishers ICSE Solutions for Class 8 Mathematics :<\/strong><\/h2>\n\n\n\n