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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 trinomials is a perfect square and can be factorised as the product of two identical binomials?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich of the following trinomials is the square of a binomial?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhat will be the factorisation of (3x+3y)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsChoose the correct factorisation of (p^2-q^2).Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich of the following expressions can be identified as the expansion of a perfect square of a binomial?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 which of the following expressions is \(3m\) a common factor of every term?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhich common factor will be taken out from (xy+xz)?Class 9Exploring Algebraic IdentitiesFactorisationLevel 74Easy MathematicsWhat is the difference between the areas of squares with sides (x-1) and (x+1)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsA rectangle model shows (2x^2+9x+10). Which sides are correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsWhat area remains when a square of side (x) is removed from a square of side (x+6)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsEach side of a square is divided into two parts of lengths x and y. The four regions formed have areas x², xy, xy, and y². Which algebraic identity does this visual represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsIn a visual model where the side of a square is divided into two parts, a and b, what is the area of each of the two equal rectangles formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsWhich algebraic expression is represented by a visual model in which one large square is divided into four parts—one square, two equal rectangles, and one smaller square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsWhich area partition correctly represents the visual model of a square with side a+b ?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsA square area model is divided into four parts with areas \(x^2\), \(xy\), \(xy\), and \(y^2\). Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsIf a square of side \(a+b\) is divided into four parts of sizes \(a\times a\), \(a\times b\), \(b\times a\), and \(b\times b\), which algebraic identity does it visually represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsA visual model is made by dividing each side of a square into two parts, \(a\) and \(b\). Which algebraic identity represents the total area of this model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium MathematicsIn a rectangle with sides (x+1) and (x+9), what will be the sum of middle strips?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Medium