Question

Use the distributive property to simplify each expression

(6+9v)6
(5n+3)12
21(2x+4)

Answer 1

To simplify expressions using the distributive property, we distribute the number outside the parentheses to both terms inside the parentheses and simplify the resulting expression.

Step-by-step explanation:

1. To simplify (6+9v)6 using the distributive property, we distribute the 6 to both terms inside the parentheses. This gives us 6*6 + 6*9v, which simplifies to 36 + 54v. So, (6+9v)6 simplifies to 36 + 54v.
2. To simplify (5n+3)12 using the distributive property, we distribute the 12 to both terms inside the parentheses. This gives us 12*5n + 12*3, which simplifies to 60n + 36. So, (5n+3)12 simplifies to 60n + 36.
3. To simplify 21(2x+4) using the distributive property, we distribute the 21 to both terms inside the parentheses. This gives us 21*2x + 21*4, which simplifies to 42x + 84. So, 21(2x+4) simplifies to 42x + 84.