How do you evaluate 2\times ( 3x + 4) ^ { 2}?

1 Answer
Feb 7, 2017

18x^2 + 48x + 32

Explanation:

Use the double distributive property (also known as the FOIL method) to first solve (3x + 4)^2. So, multiply 3x by 3x, multiply 3x by 4, multiply 4 by 3x, multiply 4 by 4, then add it all together, resulting in 9x^2 + 24x + 16. Lastly, multiply each number by 2, which will give you 18x^2 + 48x + 32.