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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 8a3−4a28a^3 - 4a^2.

    A.

    4a(2a2−a)4a(2a^2 - a)

    B.

    8a2(a−0.5)8a^2(a - 0.5)

    C.

    4a2(2a−1)4a^2(2a - 1)

    D.

    2a2(4a−2)2a^2(4a - 2)

  2. 2.

    Factorise x2y−xy2x^2y - xy^2.

    A.

    xy(x−y)xy(x - y)

    B.

    xy(y−x)xy(y - x)

    C.

    x2y2(1−1)x^2y^2(1 - 1)

    D.

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

  3. 3.

    Factorise 14m−21n+7p14m - 21n + 7p.

    A.

    7(2m−3n+p)7(2m - 3n + p)

    B.

    7(2m−3n+7p)7(2m - 3n + 7p)

    C.

    14(m−1.5n+0.5p)14(m - 1.5n + 0.5p)

    D.

    7(m−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 mn−7m+4n−28mn - 7m + 4n - 28?

    A.

    (m−4)(n+7)(m - 4)(n + 7)

    B.

    (m+7)(n−4)(m + 7)(n - 4)

    C.

    (m+4)(n−7)(m + 4)(n - 7)

    D.

    (m−7)(n−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: p2−289p^2 - 289

    A.

    (p−17)(p+17)(p-17)(p+17)

    B.

    (p−17)2(p-17)^2

    C.

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

    D.

    (p−289)(p+1)(p-289)(p+1)

  2. 2.

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

    A.

    (k−1)2(k-1)^2

    B.

    (k+1)(k−1)(k+1)(k-1)

    C.

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

    D.

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

  3. 3.

    The factorisation of 121p2−169q2121p^2 - 169q^2 is:

    A.

    (11p−13q)2(11p-13q)^2

    B.

    (11p−13q)(11p+13q)(11p-13q)(11p+13q)

    C.

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

    D.

    (121p−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 (x2−12x+36)÷(x−6)(x^2 - 12x + 36) \div (x - 6)?

    A.

    x+6x + 6

    B.

    x−6x - 6

    C.

    x−12x - 12

    D.

    x−36x - 36

  3. 3.

    Find the result of 132b2÷11b132b^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.