Find and correct errors of the following mathematical expressions:
$(z + 5)^{2} = z^{2} + 25$

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Solution

The statement is incorrect.
Above expression can be expanded by using formula $(a + b)^{2} = a^{2} + 2 a b + b^{2}$
The correct statement is
$(z + 5)^{2} = z^{2} + 10 z + 25$

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(z + 5)^{2} = z^{2} + 25

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(z + 5)^{2} = z^{2} + 25

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