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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 expression can be factorised using the identity a² − b² = (a − b)(a + b)?Class 9Exploring Algebraic IdentitiesFactorisationEasy MathematicsWhat is the correct factorisation of \(9x^2-1\)?Class 9Exploring Algebraic IdentitiesFactorisationEasy MathematicsWhich of the following expressions can be factorised using the difference of squares identity?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy MathematicsWhich expression can be factorised using the difference-of-two-squares identity (a + b)(a - b)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy MathematicsWhich is the correct factorisation of (x² - 16)?Class 9Exploring Algebraic IdentitiesFactorisationEasy MathematicsWhich expression is a difference of two squares and can be factorised using the identity?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesEasy 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 identitiesMedium MathematicsWhich visual model correctly represents 9x^2 - 1?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy MathematicsIf, in a square of side a+b, the part with area a² is 49 and the part with area b² is 9, what is the area of the whole square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesHard MathematicsIf 99² is found using the model of (100−1)², what is the correct value?Class 9Exploring Algebraic IdentitiesVisual models of identitiesEasy 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 identitiesExpert MathematicsWhich algebraic identity is appropriate for factorising the expression \(49p^2-64q^2\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesExpert 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 identitiesExpert MathematicsWhich of the following expressions is in the form of a difference of two squares, \(a^2-b^2\)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesExpert MathematicsWhich of the following expressions can be directly identified as a difference of two perfect squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsWhat is the value of ( 997^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsWhich of the following expressions cannot be factorised into algebraic factors with real coefficients using the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsWhich of the following statements shows the correct use of the identity for the difference of squares?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsUsing identity, what is the value of \( 997^2 \)?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard MathematicsWhat is the value of ( (x+y)^2+(x-y)^2-2x^2 )?Class 9Exploring Algebraic IdentitiesAlgebraic identitiesHard