simplify

2(a^2+2b+2a^2)+b+2c
answer: 4a^2+5b+2c
also
6a^2-a^2+16=7a^2+16 correct??

a^2 + 2b + 2a^2 = 3a^2 + 2b

2 * ( a^2 + 2b + 2a^2 ) + b + 2c =

2 * ( 3a^2 + 2b ) + b + 2c =

6a^2 + 4b + b + 2c =

6a^2 + 5b + 2c

6a^2 - a^2 + 16 = 5a^2 + 16

8^2 divid 16x2-5

To simplify the expression 2(a^2 + 2b + 2a^2) + b + 2c, you'll need to go step by step.

First, distribute the 2 to the terms inside the parentheses:
2 * a^2 + 2 * 2b + 2 * 2a^2 + b + 2c

Simplify each term:
4a^2 + 4b + 4a^2 + b + 2c

Combine like terms:
(4a^2 + 4a^2) + 4b + b + 2c
8a^2 + 5b + 2c

Therefore, after simplification, the expression becomes 8a^2 + 5b + 2c.

Now, let's address the second question. To check if the equation 6a^2 - a^2 + 16 = 7a^2 + 16 is correct, you'll need to simplify both sides and see if they are equal.

Start by simplifying each side separately:

Left side:
6a^2 - a^2 + 16 becomes 5a^2 + 16.

Right side:
7a^2 + 16 remains the same.

Now, compare both sides:
5a^2 + 16 = 7a^2 + 16

Subtract 5a^2 from both sides to isolate the variable:
16 = 7a^2 - 5a^2

Simplify:
16 = 2a^2

Now, divide both sides by 2 to solve for a^2:
8 = a^2

The equation simplifies to a^2 = 8, not 7a^2 + 16. Therefore, the original equation 6a^2 - a^2 + 16 = 7a^2 + 16 is not correct.