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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।

MathematicsWhich visual model can directly explain (x^2-16)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsIn a tile model (a^2-b^2) must be changed into a rectangle. Which step is correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsA rectangle model shows area (4x^2-9). Which factor form is obtained using the difference of squares model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsA square of side (5) is removed from a large square of side (z) and the remaining area is rearranged as a rectangle. What can be the sides of the rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsA rectangle has length (a+b) and breadth (a-b). Its area matches which algebraic identity?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsA small square of side (q) is removed from a large square of side (p). Which is the factor form of the remaining area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsIf the side of the big square is (10) and the side of the small square is (4), what is the area of the difference of squares?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsIn a visual model, when a square of side (b) is removed from a square of side (a), what is the remaining area called?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsIn a visual model, the rectangular form of (c^2-d^2) is equal to what?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsA rectangle has length (a+5) and breadth (a-5). Which area does the visual model show?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsIf a smaller square of side \(b\) is removed from a larger square of side \(a\), which algebraic expression is represented by the remaining L-shaped visual model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsWhen (a^2-b^2) is changed into a rectangle in an area diagram, what are the sides of the rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsIf a visual model has a big square of area (a^2) and a small corner of area (b^2) removed, which product can represent the remaining area after rearrangement?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsThe area of a rectangle with sides (a+b) and (a-b) is equal to what?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 69EasyMathematicsA teacher showed ( (a+4)(a-4) ) using tiles. If the (a^2) tile remains and the (16) tile is removed, what is the correct identity?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsIf \(x>y\), which product represents the remaining area in a visual model after a square of side \(y\) is removed from a square of side \(x\)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsA rectangle has length (x+10) and breadth (x-10). Which constant term is subtracted by the visual model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsIn the rectangle model formed by (3m+7) and (3m-7), which term will not remain?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsIn a rectangle model, the length is (2a+3) and breadth is (2a-3). What will be the area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66MediumMathematicsWhat will be the final area in the rectangle model of (t+5) and (t-5)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Medium