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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 classified as a difference of squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich structure must an expression have to be factorised using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat are the correct factors of (px-py+qx-qy)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat is the factorisation of (ax+ay+bx+by) by grouping?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsFactorise (xy+2x+3y+6).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsA student claims that the factorisation of \(49a^2-64b^2\) is \((7a-8b)^2\). What is the error in the student's claim?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following expressions is a perfect-square trinomial and can therefore be written as the product of two identical binomial factors?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following trinomials is a perfect square?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsA student claims that \(49x^2-25y^2\) factorises as \((7x-5y)^2\). What is the error in the claim?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsIf an expression is a difference of two squares, \,\(a^2-b^2\), in which form is it factorised?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsFactorise (6x^2+11x+3).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following trinomials can be factorised as a perfect square?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following expressions is a perfect-square trinomial and can be factorised using the identity \(a^2+2ab+b^2=(a+b)^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following expressions can be factorised using the algebraic identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following expressions can be factorised directly using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich algebraic identity is suitable for factorising the expression \(p^2-q^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsWhich of the following expressions is a perfect-square trinomial and can be written in the form \((x+a)^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsFactorise (ab-ac+db-dc) by grouping.Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsChoose the factorised form of \(4m^2+4mn+n^2\).Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsThe area of a rectangle is x² + 9x + 20 square units, and one of its sides is x + 4 units. What is the other side?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium