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Difference Of Squares

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 conjugate binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions can be factorised directly using the identity for the difference of squares, \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions can be factorised using the identity \((A^2-B^2)=(A-B)(A+B)\) without regrouping its terms?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat is the complete factorisation of (x^3-9x)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhich of the following expressions cannot be factorised using the identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsChoose the correct factorisation of (x^2-2xy+y^2-25).Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat will be the complete factorisation of (x^4-81)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat is the complete factorisation of (12x^2-27y^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsA student factorises \(49a^2-70ab+25b^2\) as \((7a-5b)(7a+5b)\). Which statement about the student’s solution is correct?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard 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 is the complete factorisation of (3a^2-12b^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Hard MathematicsWhat is the complete factorised form of (3x^2-12)?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 MathematicsWhat is the complete factorised form of (3a^2-27b^2)?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 MathematicsWhich of the following expressions can be factorised using the algebraic identity for the difference of two squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsFactorise (5x^2-20).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