find an expression which represents the difference when $(x + 4y)$ is subtracted from $(9x - 9y)$ in…
find an expression which represents the difference when $(x + 4y)$ is subtracted from $(9x - 9y)$ in simplest terms.
Answer
Explanation:
Step1: Translate the problem into an expression
We need to subtract ((x + 4y)) from ((9x - 9y)), so the expression is ((9x - 9y)-(x + 4y)).
Step2: Distribute the negative sign
Using the distributive property (a-(b + c)=a - b - c), we get (9x - 9y - x - 4y).
Step3: Combine like terms
For the (x)-terms: (9x - x=8x). For the (y)-terms: (-9y-4y = - 13y). So the simplified expression is (8x-13y).
Answer:
(8x - 13y)