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Question:

Find and correct errors of the following mathematical expressions: (3x+2)²=3x²+6x+4

Solution:

The statement is incorrect. LHS can be expanded by using formula, (a+b)²=a²+2ab+b²
∴(3x+2)²=(3x)²+2(3x)(2)+2²=9x²+12x+4
Therefore the correct statement is (3x+2)²=9x²+12x+4