apply the distributive property and combine lime terms to generate an expression equivalent to 2 (a+5) + 4 (2a + 3)

Answer 1

To apply the distributive property, we multiply each term inside the parentheses by the number outside the parentheses.

Starting with the expression 2 (a+5) + 4 (2a + 3):

2(a) + 2(5) + 4(2a) + 4(3)

= 2a + 10 + 8a + 12

Now let's combine like terms:

2a + 8a + 10 + 12

= 10a + 22

So, the expression 2 (a+5) + 4 (2a + 3) is equivalent to 10a + 22.