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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 rearranges (x^2-y^2) into a rectangle of height (x-y). What will be its length?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIn which visual model can (x^2+2xy+y^2-z^2) be read first as a square and then as a difference of squares?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsA model changes (9m^2-25n^2) into two rectangular side factors. Which sides are correct?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIn a cut-square model, a corner square of side (b) is removed from a square of side (a), and the remaining part is rearranged into a rectangle. What will be the new rectangle sides?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsIf an area model shows (36x^2-1), which rectangle will be formed by difference of squares?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsIf ((x+4)^2-(x-4)^2) is transformed using difference of squares, what will the area equal?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsIn a model, the remaining area (x^2-25) is shown by the rectangle ((x+5)(x-5)). If (x=12), what is the area of the visual rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsIn 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 67HardMathematicsIn a visual model, the large square is (16x^2) and the removed small square is (25). What will be the rectangle dimensions after rearrangement?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsIn which rearrangement is the area (a^2-b^2) shown as the rectangle ((a+b)(a-b))?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67HardMathematicsIn which situation does the area model show (a^2-b^2) instead of (a^2+2ab+b^2)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsInside 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 66HardMathematicsWhich visual model can immediately connect (x^2+2xy+y^2-z^2) with ((x+y-z)(x+y+z))?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn a visual model of \(x^2-y^2\), a smaller square of area \(y^2\) is removed from a larger square of area \(x^2\), and the remaining parts are rearranged. What are the sides of the rectangle formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIf \(27 \times 33\) is treated as ((30-3)(30+3)) in a visual model, what is the area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsWhich visual arrangement can most directly show ((a+b)^2-(a-b)^2=4ab)?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsAssume that \(x>y\). Which rectangle can directly represent \(x^2-y^2\) as an area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsA square of side (q) is removed from a square of side (p), and the remaining part is rearranged into a rectangle. What are the sides of the new rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66HardMathematicsIn a square model the large square is (a^2) and the removed small square has area (b^2). If the remaining part is made into a rectangle then how is the area written?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67MediumMathematicsA rectangle has sides (2x+1) and (2x-1). What area is obtained from the visual model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67Medium