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Perfect Square Trinomial

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 directly using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhat condition between \(p\) and \(q\) is necessary and sufficient for the polynomial \(x^2+px+q\) to be expressible as the square of a binomial with real coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial and can therefore be factorised as the square of the same binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials can be factorised as the product of two identical binomials, that is, as a perfect square?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following expressions can be factorised directly using the identity for the difference of two squares, without rearranging its terms?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect square and can therefore be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial and can therefore be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich 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 69ExpertMathematicsWhich of the following expressions is a perfect-square trinomial that can be factorised using the identity a+b ?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following expressions is the expansion of a perfect square binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsA student claims that \(9x^2-24xy+16y^2\) factorises as \((3x-4y)^2\). Why is the claim correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following trinomials can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsIn 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 69ExpertMathematicsWhich of the following expressions is a perfect-square trinomial and can be factorised using an identity?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following expressions is a perfect-square trinomial that can be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich of the following polynomials can be factorised as the perfect square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69ExpertMathematicsWhich is the correct factorisation of (a^2-b^2+2bc-c^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71HardMathematicsWhich of the following expressions is a perfect-square trinomial and can therefore be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71HardMathematicsWhich of the following trinomials can be written as the square of the difference of two binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71HardMathematicsWhich of the following expressions can be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard