Draw a plane figure so that its area can represent the algebraic identity (a + b) (a-2b) = a ^ 2-ab-2b ^ 2

Draw a plane figure so that its area can represent the algebraic identity (a + b) (a-2b) = a ^ 2-ab-2b ^ 2

Large rectangle area = (a + b) (3a-b)
After dividing into small ones, area = a strip above + three small rectangles below = B (3a-b) + A ^ 2 + A ^ 2 + a (a-b)
=3ab-b^2+3a^2-ab=3a^2+2ab-b^2

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