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Factorisation

Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.

Method of Common Factors

Subtopic

Method of Common Factors under Factorisation for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorise the expression 8a3โˆ’4a28a^3 - 4a^2.

    A.

    4a(2a2โˆ’a)4a(2a^2 - a)

    B.

    8a2(aโˆ’0.5)8a^2(a - 0.5)

    C.

    4a2(2aโˆ’1)4a^2(2a - 1)

    D.

    2a2(4aโˆ’2)2a^2(4a - 2)

  2. 2.

    Factorise x2yโˆ’xy2x^2y - xy^2.

    A.

    xy(xโˆ’y)xy(x - y)

    B.

    xy(yโˆ’x)xy(y - x)

    C.

    x2y2(1โˆ’1)x^2y^2(1 - 1)

    D.

    xy(x+y)xy(x + y)

  3. 3.

    Factorise 14mโˆ’21n+7p14m - 21n + 7p.

    A.

    7(2mโˆ’3n+p)7(2m - 3n + p)

    B.

    7(2mโˆ’3n+7p)7(2m - 3n + 7p)

    C.

    14(mโˆ’1.5n+0.5p)14(m - 1.5n + 0.5p)

    D.

    7(mโˆ’n+p)7(m - n + p)

Download the worksheet for Factorisation - Method of Common Factors to practice offline. It includes additional chapter-level practice questions.

Factorisation by Regrouping Terms

Subtopic

Factorisation by Regrouping Terms under Factorisation for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorise: ab+11a+2b+22ab + 11a + 2b + 22

    A.

    (a+11)(b+2)(a + 11)(b + 2)

    B.

    (a+2)(b+11)(a + 2)(b + 11)

    C.

    (ab+22)(11+2)(ab + 22)(11 + 2)

    D.

    (a+22)(b+1)(a + 22)(b + 1)

  2. 2.

    What is the factorised form of mnโˆ’7m+4nโˆ’28mn - 7m + 4n - 28?

    A.

    (mโˆ’4)(n+7)(m - 4)(n + 7)

    B.

    (m+7)(nโˆ’4)(m + 7)(n - 4)

    C.

    (m+4)(nโˆ’7)(m + 4)(n - 7)

    D.

    (mโˆ’7)(nโˆ’4)(m - 7)(n - 4)

  3. 3.

    Factorise the algebraic expression: rs+r+10s+10rs + r + 10s + 10

    A.

    (r+1)(s+10)(r + 1)(s + 10)

    B.

    (r+10)(s+1)(r + 10)(s + 1)

    C.

    (rs+10)(1+1)(rs + 10)(1 + 1)

    D.

    (r+s)(10+1)(r + s)(10 + 1)

Download the worksheet for Factorisation - Factorisation by Regrouping Terms to practice offline. It includes additional chapter-level practice questions.

Factorisation using Identities

Subtopic

Factorisation using Identities under Factorisation for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Factorise the algebraic expression: p2โˆ’289p^2 - 289

    A.

    (pโˆ’17)(p+17)(p-17)(p+17)

    B.

    (pโˆ’17)2(p-17)^2

    C.

    (p+17)2(p+17)^2

    D.

    (pโˆ’289)(p+1)(p-289)(p+1)

  2. 2.

    Identify the factorised form of k2+2k+1k^2 + 2k + 1.

    A.

    (kโˆ’1)2(k-1)^2

    B.

    (k+1)(kโˆ’1)(k+1)(k-1)

    C.

    (k+1)2(k+1)^2

    D.

    (k+2)2(k+2)^2

  3. 3.

    The factorisation of 121p2โˆ’169q2121p^2 - 169q^2 is:

    A.

    (11pโˆ’13q)2(11p-13q)^2

    B.

    (11pโˆ’13q)(11p+13q)(11p-13q)(11p+13q)

    C.

    (11p+13q)2(11p+13q)^2

    D.

    (121pโˆ’169q)(p+q)(121p-169q)(p+q)

Download the worksheet for Factorisation - Factorisation using Identities to practice offline. It includes additional chapter-level practice questions.

Division of Algebraic Expressions

Subtopic

Division of Algebraic Expressions under Factorisation for Grade 8 CBSE.

About Topic & Revision

Preview questions (no answers)

  1. 1.

    Divide 96a3b396a^3b^3 by 12ab12ab.

    A.

    8a2b28a^2b^2

    B.

    84a2b284a^2b^2

    C.

    8ab8ab

    D.

    8a4b48a^4b^4

  2. 2.

    What is the quotient of (x2โˆ’12x+36)รท(xโˆ’6)(x^2 - 12x + 36) \div (x - 6)?

    A.

    x+6x + 6

    B.

    xโˆ’6x - 6

    C.

    xโˆ’12x - 12

    D.

    xโˆ’36x - 36

  3. 3.

    Find the result of 132b2รท11b132b^2 \div 11b.

    A.

    121b121b

    B.

    12b212b^2

    C.

    12b12b

    D.

    1212

Download the worksheet for Factorisation - Division of Algebraic Expressions to practice offline. It includes additional chapter-level practice questions.

Factorisation - CBSE Class 8 Maths Notes & Revision | Krit.club