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Algebraic Identities

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich quadratic factor is obtained when the expression \(p^3-q^3\) is factorised?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsFor which of the following expressions does taking out a common factor first leave a difference of squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following quadratic expressions cannot be expressed as a product of two linear factors with integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsIf the quadratic expression \(x^2+px+q\) is factorised in the form \((x+m)(x+n)\), which relation between \(m\) and \(n\) is correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following polynomials can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions produces the quadratic factor \(p^2-pq+q^2\) when factorised?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhen factorising the expression \(u^3-v^3\), which quadratic factor occurs along with the linear factor \(u-v\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following is the correct factorised form of the difference of two cubes, \(a^3-b^3\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions can be identified and factorised as a difference of two perfect squares, \(A^2-B^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions can be factorised using only the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions is a perfect-square trinomial and can be written as a product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions can be factorised directly using the identity for the sum of cubes, \(a^3+b^3=(a+b)(a^2-ab+b^2)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following trinomials is a perfect-square trinomial and will factorise into two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsFactorise (3xy-6x+5y-10) by grouping.Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsChoose the correct factorised form of (2ab+3a+4b+6).Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following quadratic trinomials can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsFactorise (6ab+9a+10b+15) by grouping.Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsIf the first and last terms of a trinomial are perfect squares, what condition must its middle term satisfy for the trinomial to be identified as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich is the correct factorised form for (27p^3-8q^3)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsWhich of the following expressions is a perfect-square trinomial and therefore has two identical binomial factors?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard