Answer:
A. 30x + 54y - 42
Step-by-step explanation:
The first step in simplifying this polynomial is to multiply the terms inside the smaller parenthesis since in PEMDAS, P or parenthesis is the first step, and if there is one inside the other, you do the innermost first. Since those are already simplified, you can multiply the terms in the parenthesis by the constant:
6 × (7x - 1(7 - 2y + 2x) + 7y)
⇒ 6 × (7x - 7 + 2y - 2x + 7y)
Now that you've simplified that part of the polynomial, you can go on to simplifying the terms in the parentheses:
6 × (7x - 7 + 2y - 2x + 7y)
⇒ 6 × (5x + 9y - 7)
Now, you can multiply the terms inside the polynomial by the constant:
6 × (5x + 9y - 7)
⇒ 30x + 54y - 42
So the most simplified form of this polynomial is 30x + 54y - 42, or A.
