Final answer:
To simplify the expressions, apply the distributive property and simplify.
Step-by-step explanation:
To simplify the expression 5(x + 3), we can use the distributive property. This property states that a(b + c) is equal to ab + ac. Applying this property, we get 5(x) + 5(3) = 5x + 15.
For the expression -3(y-4), we use the same distributive property. -3(y-4) = -3y + 12.
To simplify 2(x-3y) + 8, we distribute the 2 to both terms inside the parentheses and then simplify the expression. 2(x-3y) + 8 = 2x - 6y + 8.
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