Write the expression (2x)(4y) + 9x + 10y + (8x)(4y) in a simpler form, if possible.
I've tried this problem several times, and have gotten the wrong answer. Someone help?
8xy + 9x + 10y + 32xy
= 40xy + 9x + 10y is the best we can do
To simplify the given expression (2x)(4y) + 9x + 10y + (8x)(4y), we can first simplify the multiplication terms and then combine like terms.
Step 1: Simplify the multiplication terms:
(2x)(4y) = 8xy
(8x)(4y) = 32xy
Step 2: Rewrite the expression with the simplified multiplication terms:
8xy + 9x + 10y + 32xy
Step 3: Combine like terms:
The like terms in this expression are the terms with the same variables raised to the same powers. In this case, the like terms are the terms with "xy" and the terms with just "x" or just "y".
Combine the "xy" terms:
8xy + 32xy = 40xy
Combine the "x" terms:
9x
Combine the "y" terms:
10y
The simplified expression is:
40xy + 9x + 10y