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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।

MathematicsA tile arrangement \(x^2+15x+54\) forms a rectangle. Which constant strips make this arrangement possible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsIf in the rectangle model of (3x+4) and (3x-4), the (3x) part is treated as the square side, what area remains?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsIf rectangles of area (pq) are placed at opposite positions in a square of side (p+q), how many such rectangles will be present?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Expert MathematicsThe difference between squares of sides (2a+b) and (2a-b) equals which visual area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert MathematicsWhich area partition in a square of side \(p+q\) represents the identity \((p+q)^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert MathematicsWhen the square of side (x-y) is subtracted from the square of side (x+2y), what area does the visual model give?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert MathematicsIn the visual model of the identity (a+b)², how is the larger square divided?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert MathematicsIn a square tile model, one \(x^2\) square, two \(xy\) rectangles, and one \(y^2\) square combine to form a larger square. Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert MathematicsIn the visual model of the square of a+b, into which parts is the large square divided?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Hard MathematicsIn the visual model of the difference of two squares, into what shape can the remaining L-shaped region be rearranged after removing the smaller square from the larger square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Hard MathematicsIn a visual model, the area of ((x+a)(x+b)) is (x^2+9x+20). What can be the values of (a) and (b)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Medium MathematicsIf a visual model is made for a square of side (5a-2b), what will be the expansion?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsIf in a square model \(x^2+ax+36\) is a perfect square and (a) is positive, what is the value of (a)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsWhich of the following partitions is correct in a visual model of the identity \((a+b)^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsInside a square of side (x+4), a square of side (x-4) is drawn. What is the difference of the two areas?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsEach side of a square is \(a+b\). It is divided into four regions with areas \(a^2\), \(ab\), \(ab\), and \(b^2\). Which algebraic identity does this visual model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsWhich arrangement of regions must appear in an area model of the identity \((a+b)^2=a^2+2ab+b^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsIn an area model, two strips of size \(a\times b\) are removed from a square of side \(a\), and their common \(b\times b\) region is added back once. Which algebraic identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsIn an area model of a square with side \(a\), strips of width \(b\) are removed along two adjacent sides. The common \(b\times b\) corner is added once to correct for being removed twice. Which identity does this model represent?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard MathematicsIf a square of side \(p+q\) is divided according to lengths \(p\) and \(q\), which parts must appear in the visual area model of \((p+q)^2\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Hard