Question

verify the identity (a+b)²=a²+2ab+b² geometrically by taking a=3 units; b=2units​

Answer 1

Answer:

answer for the given problem is given

Answer 2

${(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} \: \: \: \\ \\ \red{lhs : } {(x + y)}^{2} \\ \\ x = 3 \: \: \: \: \: y = 2 \\ \\ lhs = {(3 + 2) }^{2} \\ \\ = {5 }^{2} \: \: \\ \\ = 25 \\ \\ \pink{rhs} = {x}^{2} + 2xy + {y}^{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = {3}^{2} + 2 \times 3 \times 2 + {2}^{2} \\ \\ \: \: \: \: \: = 9 + 12 + 4 \\ \\ = 25 \: \: \: \: \: \: \: \: \: \: \\ \\ \blue{hence} \\ \\ lhs = rhs = 25$

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