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.