Question

# Use the distributive property and then combine like terms to simplify each expression. 4(x-2) + 4(x + 4)-(8x + 1)

Answer

Okay class, let's take a look at this expression. We have 8 times 2 plus 8 times 4, and then we need to subtract 4 times x plus 9. Let's simplify this step by step. First, 8 times 2 equals 16, and 8 times 4 equals 32. So we have 16 plus 32. Then we need to distribute the negative sign to both terms inside the parenthesis. 4 times x equals 4x, and -9 stays the same. So we have 16 plus 32 minus 4x minus 9. Now let's combine like terms. 16 plus 32 is 48, and -9 minus 4x cannot be simplified any further. So our final answer is 48 minus 4x minus 9, which simplifies to 39 minus 4x. And that's it for this expression, class.