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Perfect 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 identified and factorised as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Expert MathematicsWhich of the following expressions is a difference of two squares and can therefore be factorised using the identity \(a^2-b^2=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 69Expert 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 identified and factorised as a difference of two perfect squares, \(A^2-B^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 70Hard 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 MathematicsWhich of the following expressions is identified as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 71Medium MathematicsChoose the factorised form of (x^2-49).Class 9Exploring Algebraic IdentitiesFactorisationLevel 75Easy MathematicsWhich of the following expressions represents a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesFactorisationLevel 75Easy MathematicsWhich of the following expressions can be factorised using the identity for the difference of two squares, \((a^2-b^2)=(a-b)(a+b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 72Medium MathematicsWhich of the following expressions is a difference of two perfect squares and can be factorised using the identity \(A^2-B^2=(A-B)(A+B)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 72Medium MathematicsWhich of the following expressions is in the form of a difference of two perfect squares, \(a^2-b^2\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhat will be the factorisation of (16a^2-25b^2)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhat is the correct factorisation of (9x^2-1)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich of the following expressions can be factorised using the identity for the difference of two squares, \((a+b)(a-b)\)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich of the following expressions is a difference of two squares and can be factorised using the identity?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsIn a tile model, (x^2+6x+9) and (x^2+8x+16) are two separate perfect squares. By how much is the side of the first square less than the second?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Expert MathematicsIf \(99^2\) is found using the model of \((100-1)^2\), what is the correct value?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Easy MathematicsWhich of the following expressions is a difference of two perfect-square terms and can therefore be factorised using the identity \((a+b)(a-b)=a^2-b^2\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 64Expert MathematicsWhich algebraic identity is appropriate for factorising the expression \(49p^2-64q^2\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Expert MathematicsWhich of the following expressions can be factorised directly using the difference of squares identity \(A^2-B^2=(A-B)(A+B)\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesLevel 63Expert