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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 of the following expressions can be factorised as a product of two conjugate binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsWhich of the following expressions can be identified as a difference of two perfect squares and factorised using the identity \(A^2-B^2=(A-B)(A+B)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsWhich of the following expressions can be factorised using the identity for the difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsWhich of the following polynomials has \(x+2\) as a factor?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following trinomials is a perfect-square trinomial and can therefore be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is a perfect-square trinomial that can be factorised using the identity a+b ?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is the expansion of a perfect square binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following polynomials can be factorised directly by the method of grouping terms?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich is the factorised form of (6ab-9a+10b-15)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is a difference of two perfect squares and can therefore be factorised into a product of conjugate binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsA student claims that \(9x^2-24xy+16y^2\) factorises as \((3x-4y)^2\). Why is the claim correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsChoose the correct factorised form of (3a^2+5ab-2b^2).Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following trinomials can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is a difference of two squares and can therefore be factorised using the identity \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsIn a trinomial, the first and last terms are \(p^2\) and \(q^2\) respectively, and the middle term is \(2pq\). What is its factorised form?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is a perfect-square trinomial and can be factorised using an identity?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsA student factorised \(12m^2-7mn-10n^2\) as \((3m-2n)(4m+5n)\). Which is the correct factorisation after checking the sign of the middle term?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following expressions is a perfect-square trinomial that can be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich of the following polynomials can be factorised as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert MathematicsWhich is the correct factorisation of (a^2-b^2+2bc-c^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard