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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।

MathematicsA visual model of a rectangle (n+4) by (n-4) is made. Which parts cancel?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsA rectangle has length (a+b) and breadth (a-b). What result is shown by the area model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsAssume that \(a>b\). In the area model of \(a^2-b^2=(a+b)(a-b)\), after removing the smaller square from the larger square and rearranging the remaining pieces, which rectangle is formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsWhat is the visual result of subtracting the area of a square with side (x-6) from a square with side (x+6)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsWhich model can change (x^2-25) into a rectangle with sides (x+5) and (x-5)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsWhat is the difference between the areas of squares with sides (x+1) and (x-1)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsWhich visual model explains (25x^2-36)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsWhen a rectangle with sides (a+3) and (a-3) is rearranged, what area is obtained?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsIf (a^2-b^2) is to be shown visually, which idea is most suitable?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsIn which area model is (a^2-16) directly visible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsA rectangle has length (a+b) and breadth (a-b). Which identity does its tile model show?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 65MediumMathematicsIf \(9^2-4^2\) is solved using a visual model, which rectangle is formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 70EasyMathematicsIn which model can a \(b^2\) square be removed from a corner of an \(a^2\) square and the remaining part rearranged into a rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 70EasyMathematicsA large square has side \(a\), and a square of side \(b\) is removed from it. How is the remaining area expressed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 70EasyMathematicsIf \(21 \times 19\) is seen as \((20+1)(20-1)\), which identity is used?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68EasyMathematicsWhich identity is modeled by drawing a rectangle with sides \(a+b\) and \(a-b\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68EasyMathematicsWhich method is correct to explain \(a^2-b^2\) visually?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68EasyMathematicsIf \(7 \times 9\) is viewed as \((8-1)(8+1)\) in a visual model, what is its value?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68EasyMathematicsA rectangle has length \(a+b\) and breadth \(a-b\). Its area is equal to what?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68EasyMathematicsIn a visual model \(a^2-b^2\) is rearranged into two rectangles. Which factorisation does it show?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68Easy

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