Propositional logic/Tautology/Distributive law/Truth table/Exercise

Prove, with the help of truth tables, that the following statements are tautologies.

1. ${}{\left(\alpha \wedge {\left(\beta \vee \gamma \right)}\right)}\longleftrightarrow {\left(\alpha \ \wedge \beta \right)}\vee {\left(\alpha \wedge \gamma \right)}$.
2. ${}{\left(\alpha \vee {\left(\beta \wedge \gamma \right)}\right)}\longleftrightarrow {\left(\alpha \vee \beta \right)}\wedge {\left(\alpha \vee \gamma \right)}$.

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