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Subjects

Mathematics

Visual models of identities

सर्वसमिकाओं के दृश्य मॉडल

In Class 9 Mathematics, under the chapter Exploring Algebraic Identities, students use geometric diagrams and area-based representations to understand algebraic identities visually. They relate squares and rectangles formed from algebraic expressions to expansions such as binomial products, helping them see why both sides of an identity are equal rather than merely memorising formulas.

Practice questions

In the visual area model, what type of parts are (a^2), (2ab), and (b^2)?EasyLevel 72If a square is read as (r^2), (2rs), and (s^2), what will be its side?EasyLevel 72Using the visual identity, the area of a square with side (9+1) equals which sum?EasyLevel 72In which situation will the small corner of the visual model be (12)?EasyLevel 72If (x^2-4) is viewed visually, which small square has been removed?EasyLevel 72In a square with side (x+7), what are the small square area and total area of the two rectangles?EasyLevel 72Which visual identity can solve (12^2-8^2) without long multiplication?EasyLevel 72In the rectangle model of ((x+1)(x+6)), what will be the total (x)-term?EasyLevel 72In the visual model of a square with side a+b , which partition correctly represents a^2+2ab+b^2 ?EasyLevel 72What area is formed by joining an (x) by (x) square and an (x) by (8) rectangle?EasyLevel 72If (x^2+20x+100) is made with square tiles, what is the area of each of the two equal rectangles?EasyLevel 72In which model can (x^2-25=(x+5)(x-5)) be seen most clearly?EasyLevel 72How many main parts are formed in the square model of side (a+b)?EasyLevel 72If ((2x+3)(2x+3)) is viewed as a square, what is it equal to?EasyLevel 72In the visual model of ((a+b+c)^2), which are the square parts?EasyLevel 72If a rectangle has length (2x+5) and breadth (x), what will the area model give?EasyLevel 72Which statement is correct for a visual model?EasyLevel 72If (11^2-1^2) is changed into a rectangle, what will be the area?EasyLevel 72If a square with side (x+2+3) is first viewed as (x+5), what area will be obtained?EasyLevel 72In an area model, what is the main conclusion of writing the area of the same figure in two ways?EasyLevel 72