verify the algebraic identity (a+b)2 =a2+2ab+b2 by paper cutting and pasting i did not understand how to do this can - Maths - Algebraic Expressions and Identities

Question

verify the algebraic identity (a+b)2
=a2+2ab+b2 by paper cutting and pasting
i did not understand how to do this can u please explain me with
the steps to do and the diagram which will come after doing these
steps please fast tomorrow submission date

today itself
please

Manbar Singh · Accepted Answer

OBJECTIVE :To verify the identity a+b2 = a2+b2+2ab by paper cutting and pasting PREREQUISITE KNOWLEDGE :Area of square = side×sideArea of rectangle = length×breadthMATERIALS REQUIRED :A sheet of white paper, 3 sheets of glazed paperdifferent colours, a pair of scissors, glue stick and a geometry box PROCEDURE :Take distinct values of a and b, say a = 4 units; b = 2 units 1 Cut a square of side a say 4 units on a glazed paper Purple 2 Cut a square of side b say 2 units on a glazed paper blue 3 Now, cut 2 rectangles of length a4 units and breadth b2 units from third glazed paper red 4 Draw a square PQRS of a+b = 4+2 = 6 units on white paper sheet as shown in figure 1 5 Paste the square I and II and 2 rectangles III and IV on the same white squared paper Arrange all the pieces on the white square sheet in such a way that they form a square ABCD

OBSERVATION :1 Area of square PQRS on the white sheet of white sheet paper a+b2 = 4+22 = 6 × 6 = 36 square units 12 Area of 2 coloured squares I and IIarea of first square = a2 = 42 = 16 square unitsarea of second square = b2 = 22 = 4 square units3 Area of 2 coloured rectangles III and IV = 2a×b = 24×2 = 16 square unitsNow, total area of 4 quadrilaterals = a2+b2+2ab = 16 + 4 + 16 = 36 square units 2area of square ABCD = Total area of 4 quadrilaterals = 36 square unitsEquating 1 and 2, area of square PQRS = area of square ABCDa+b2 = a2 + b2 + 2ab

verify the algebraic identity (a+b)2 =a2+2ab+b2 by paper cutting and pasting i did not understand how to do this can u please explain me with the steps to do and the diagram which will come after doing these steps please fast tomorrow submission date. today itself please

verify the algebraic identity (a+b)² =a²+2ab+b^{2 by paper cutting and pasting

i did not understand how to do this can u please explain me with the steps to do and the diagram which will come after doing these steps please fast tomorrow submission date.

today itself

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