Can someone explain this step by step with answers ? Thank You

Is the following always true for sets A, B, and C? a) A Intersection (B\C) = (A Intersection B) \ (A Intersection C)? b) A times (B Union C) = (A times B) Union (A times C) Are the following true? a) {{{a}}} Subsetequalto {{a, b}} b) {{a, b}} Subsetequalto {{{a}}} c) {{a, b}} Subsetequalto {{a, b, c}} d) {{a, b}}, {{a, c}} Subsetequalto {{a, c}, {b, c}, {a, b}}