apply the distributive property and combine like terms to generate an expression equivalent to 2 (a + 5) +4 (2a + 3) - 10
(1 point)
9a + 12
10a + 12
12a + 10
10a + 22
To apply the distributive property, we need to multiply each term inside the parentheses by the number outside the parentheses.
First, we multiply 2 with (a + 5):
2(a + 5) = 2a + 10
Then, we multiply 4 with (2a + 3):
4(2a + 3) = 8a + 12
Now, we can substitute the expressions back into the original expression and combine like terms:
2(a + 5) + 4(2a + 3) - 10 = 2a + 10 + 8a + 12 - 10
Next, we combine like terms:
2a + 10 + 8a + 12 - 10 = (2a + 8a) + (10 + 12) - 10 = 10a + 22
Therefore, the expression equivalent to 2(a + 5) + 4(2a + 3) - 10 is 10a + 22.