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

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answer is A.

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Detailed Solution

Concept- In this problem, the mathematical expression

is given.
We have to find and correct the errors in this expression.
For this, first we will simplify the LHS term.
The LHS term of the equation

.
Now we will use the expansion of

which is given by

.
So, by using this formula we can write

.
Let us simplify this equation.
Therefore, we can write

.
From the equation

, we can say that the RHS term is

.
Now we have the LHS term is

and the RHS term is

.
So, we can say that LHS is not equal to RHS.
If the RHS term of given expression is

then we can say that the given expression is true.
Therefore, the correct mathematical expression is

.
Hence, the correct option is 1.

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