{"id":95399,"date":"2019-10-04T11:02:41","date_gmt":"2019-10-04T05:32:41","guid":{"rendered":"https:\/\/www.cbselabs.com\/?p=95399"},"modified":"2021-09-18T15:16:37","modified_gmt":"2021-09-18T09:46:37","slug":"ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities","status":"publish","type":"post","link":"https:\/\/www.cbselabs.com\/ncert-solutions-for-class-8-maths-algebraic-expressions-and-identities\/","title":{"rendered":"NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities"},"content":{"rendered":"
NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Exercise 9.1<\/strong><\/p>\n Ex 9.1 Class 8 Maths Question 1. <\/p>\n Ex 9.1 Class 8 Maths\u00a0Question 2. Ex 9.1 Class 8 Maths\u00a0Question 3. (ii) Given: (iii) Given: (iv) Given: l2<\/sup> + m2<\/sup>, m2<\/sup> + n2<\/sup>, n2<\/sup> + l2<\/sup>, 2lm + 2mn + nl Ex 9.1 Class 8 Maths\u00a0Question 4. <\/p>\n <\/p>\n <\/p>\n <\/p>\n <\/p>\n NCERT Solutions for Class 8 Maths Chapter 9 Algebraic Expressions and Identities Class 8 Maths Algebraic Expressions and Identities Exercise 9.1 Class 8 Maths Algebraic Expressions and Identities Exercise 9.2 Class 8 Maths Algebraic Expressions and Identities Exercise 9.3 Class 8 Maths Algebraic Expressions and Identities Exercise 9.4 Class 8 Maths Algebraic Expressions and Identities …<\/p>\n","protected":false},"author":27,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[2],"tags":[],"yoast_head":"\n
\nIdentify the terms, their coefficients for each of the following expressions.
\n(i) 5xyz2<\/sup> – 3zy
\n(ii) 1 + x + x2<\/sup>
\n(iii) 4x2<\/sup>y2<\/sup> – 4x2<\/sup>y2<\/sup>z2<\/sup> + z2<\/sup>
\n(iv) 3 – pq + qr – rp
\n(v) \\(\\frac { x }{ 2 }\\) + \\(\\frac { y }{ 2 }\\) – xy
\n(vi) 0.3a – 0.6ab + 0.5b
\nSolution:
\n<\/p>\n
\nClassify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
\nx + y, 1000, x + x2<\/sup> + x3<\/sup> + x4<\/sup>, 7 + y + 5x, 2y – 3y2<\/sup>, 2y – 3y2<\/sup> + 4y3<\/sup>, 5x – 4y + 3xy, 4z – 15z2<\/sup>, ab + bc + cd + da, pqr, p2<\/sup>q + pq2<\/sup>, 2p + 2q
\nSolution:
\n<\/p>\n
\nAdd the following:
\n(i) ab – bc, bc – ca, ca – ab
\n(ii) a – b + ab, b – c + bc, c – a + ac
\n(iii) 2p2<\/sup>q2<\/sup> – 3pq + 4, 5 + 7pq – 3p2<\/sup>q2<\/sup>
\n(iv) l2<\/sup> + m2<\/sup>, m2<\/sup> + n2<\/sup>, n2<\/sup> + l2<\/sup>, 2lm + 2mn + 2nl
\nSolution:
\n(i) Given: ab – bc, bc – ca, ca – ab
\nWe have
\n(ab – bc) + (bc – ca) + (ca – ab) (Adding all the terms)
\n= ab – bc + bc – ca + ca – ab
\n= (ab – ab) + (bc – bc) + (ca – ca) (Collecting the like terms together)
\n= 0 + 0 + 0
\n= 0<\/p>\n
\na – b + ab, b – c + bc, c – a + ac
\nWe have (a – b + ab) + (b – c + bc) + (c – a + ac) (Adding all the terms)
\n= a – b + ab + b – c + bc + c – a + ac
\n= (a – a) + (b – b) + (c – c) + ab + bc + ac (Collecting all the like terms together)
\n= 0 + 0 + 0 + ab + bc + ac
\n= ab + bc + ac<\/p>\n
\n2p2<\/sup>q2<\/sup> – 3pq + 4, 5 + 7pq – 3p2<\/sup>q2<\/sup>
\nBy arranging the like terms in the same column, we have
\n
\n(Adding columnwise)<\/p>\n
\nBy arranging the like terms in the same column, we have
\n
\nThus, the sum of the given expressions is 2(l2<\/sup> + m2<\/sup> + n2<\/sup>\u00a0+ lm + mn + nl)<\/p>\n
\n(a) Subtract 4a – 7ab + 3b + 12 from 12a – 9ab + 5b – 3
\n(6) Subtract 3xy + 5yz – 7zx from 5xy – 2yz – 2zx + 10xyz
\n(c) Subtract 4p2<\/sup>q – 3pq + 5pq2<\/sup> – 8p + 7q – 10 from 18 – 3p – 11q + 5pq – 2pq2<\/sup> + 5p2<\/sup>q
\nSolution:
\n(a) Arranging the like terms column-wise, we have
\n
\n[Change the signs of all the terms of lower expressions and then add]
\n(b) Arranging the like terms column-wise, we have
\n
\n[Change the signs of all the terms of lower expressions and then add]
\n(c) Arranging the like terms column-wise, we have
\n
\n[Change the signs of all the terms of lower expressions and then add]
\nThe terms are p2<\/sup>q – 7pq2<\/sup> + 8pq – 18q + 5p + 20<\/p>\nMore CBSE Class 8 Study Material<\/h4>\n
\n