Is it always true that $c+(a \cdot b)=(c+a)(c+b)$, where $a$, $b$, and $c$ are real numbers? If not, provide an example that shows the statement is false.

Name: Is it always true that $c+(a \cdot b)=(c+a)(c+b)$, where $a$, $b$, and $c$ are real numbers? If not, provide an example that shows the statement is false.
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The Answer of Is it always true that $c+(a \cdot b)=(c+a)(c+b)$, where $a$, $b$, and $c$ are real numbers? If not, provide an example that shows the statement is false.

Is It Always True That c+(a⋅b)=(c+a)(c+b)c+(a \cdot b)=(c+a)(c+b)c+(a⋅b)=(c+a)(c+b) , Where aaa bbb

Is It Always True That $c+(a \cdot b)=(c+a)(c+b)$ , Where $a$ $b$