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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।

MathematicsChoose the factorised form of (x^2-4y^2+2x+1).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following polynomials has \(x-2y\) as a factor?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsThe area of a rectangular garden is \(6a^2+7ab-3b^2\) square units. Which pair of expressions can represent the possible length and breadth of the garden?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich 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 71Hard MathematicsWhich is the correct factorisation of (2x^2+5xy-12y^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following trinomials can be written as the square of the difference of two binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsChoose the correct factorisation of (3x^2+2xy-8y^2).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsChoose the factorised form of (x^2+7x+12-y^2).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsIn which of the following polynomials does grouping the first two and the last two terms produce the same binomial as a common factor?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsA student has factorised \(8p^3+q^3\) as \((2p+q)(4p^2-2pq+q^2)\). Which statement about the solution is correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following expressions is an example of the difference of squares identity?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsA student claims that \(6x^2-x-2=(3x+2)(2x-1)\). Which is the correct factorisation of \(6x^2-x-2\) that corrects the student's error?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich expression can be factorised using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following expressions can be identified as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following expressions can be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsChoose the correct factorisation of (7a^2-5ab-2b^2).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhich of the following expressions can be factorised most directly by suitable grouping of terms?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsWhat is the complete factorised form of (x^4-16)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Hard MathematicsIn which form will (27a^3+54a^2b+36ab^2+8b^3) be written?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard MathematicsA student claims that the factorisation of \(x^2-9x+20\) is \((x-10)(x+2)\). Identify the error and choose the correct factorisation.Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard