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Visual Proof

Class 9 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIn which visual model do (a^2+2ab+b^2) and ((a+b)^2) show the same area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68MediumMathematicsWhen (b^2) is removed from a large square, the remaining area is (a^2-b^2). Which product represents it?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68MediumMathematicsA rectangle has sides (x+6) and (x-6). What will be the area in the visual model?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68MediumMathematicsA square model has side (c+d). Why will the area from the outer boundary and the area from inner parts be equal?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 73EasyMathematicsIn which model does removing (y^2) from (x^2) show the remaining part equal to ((x+y)(x-y))?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 73EasyMathematicsIn a visual model, (a^2+2ab+b^2) can be read as which single area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 73EasyMathematicsIf a diagram removes two strips of (4x) from an (x^2) square and adds back (16), which square is formed?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 73EasyMathematicsIf a square of side (a+b) has two equal parts besides the (a^2) and (b^2) squares, what shape are those parts?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 73EasyMathematicsIn an area model, what is the main conclusion of writing the area of the same figure in two ways?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 72EasyMathematicsIn which model can (x^2-25=(x+5)(x-5)) be seen most clearly?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 72EasyMathematicsWhich identity is proved by equating the area of a square with side (a+b) and the sum of its inner parts?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 72EasyMathematicsIn which visual model are the four area parts of (a^2+2ab+b^2) clearly visible?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 72EasyMathematicsA large square has side (m), and the removed small square has side (n). The remaining area is linked to which identity?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 72EasyMathematicsIn which model is (a^2-b^2) shown as ((a-b)(a+b))?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 71EasyMathematicsIf the region (a^2-b^2) in a tile model is rearranged into a rectangle and its length becomes (a+b), what is its width?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68ExpertMathematicsIn a visual model, a small square of area (s^2) is removed from a square of area (r^2). The remaining L-shape is cut and rearranged into a rectangle. What will be the sides of that rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 68ExpertMathematicsA model shows the difference of two squares ( (2x+1)^2-(2x-1)^2 ). What is the result?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a visual proof, ( (a+b)^2-(a-b)^2 ) is rearranged into four equal rectangles. What is the area of each rectangle?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 67ExpertMathematicsIn a visual proof, ( (a+b+c)^2-(a+b-c)^2 ) is read as a difference of two squares. What is the remaining area?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66ExpertMathematicsWhich identity is most suitably shown by adding two differently shaded strips to a single (a) by (a) square?Class 9Exploring Algebraic IdentitiesVisual models of identitiesLevel 66Expert