6(3c -5d + 6) = 18c -30d + 36.
The law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac is called distributive law.
Equivalent expressions are expressions that work the same even though they look different.
According to the given question
We have an expression 6(3c -5d +6)
Apply distributive law in 6(3c - 5d + 6) for finding the equivalent expression of 6(3c - 5d + 6).
Therefore,
6(3c - 5d + 6) = 6×3c + 6×(-5d) + 6×6
⇒6(3c -5d + 6) = 18c -30d + 36
Hence, 6(3c -5d + 6) = 18c -30d + 36
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