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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।

MathematicsIf a, b and c are constants, which condition is necessary for \(ax^2+bx+c\) to be a quadratic expression in x?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsBased on the powers of the variable \(x\) in the polynomial \(5x^2-3x+7\), what is the degree of this expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich expression is a quadratic expression?Class 9Exploring Algebraic IdentitiesQuadratic expressionsLevel 73MediumMathematicsWhich of the following expressions can be factorised into two identical binomial factors?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is a perfect-square trinomial and can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is in the form of a difference of squares, \(a^2-b^2\), and can therefore be factorised using the identity \((a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions cannot be factorised as a product of two binomials when both binomials have integer coefficients?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is in the form of a difference of two squares and can be factorised into a product of conjugate binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials can be factorised as the square of a single binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials is correctly identified as a perfect-square trinomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial that can be factorised as the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich is the factorised form of (8x^3+27y^3)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich type of expression can be factorised directly using the identity \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions is a perfect-square trinomial that can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions can be factorised using the identity for the sum of two cubes?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following quadratic expressions can be written as the square of a single linear binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following trinomials can be factorised as the product of two identical binomials because it is a perfect square?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhat is the factorised form of (x^2+10x+25)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71ExpertMathematicsWhich of the following expressions can be identified and factorised as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70ExpertMathematicsWhich of the following trinomials is a perfect-square trinomial and can be written as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert