3a(3a - 2b) + b^2 + c^2
9a^2 -6ab + b^2 + c^2
(3a -b + c)(3a - b - c)
To simplify the expression 3a(3a - 2b) + b^2 + c^2, you need to apply the distributive property and combine like terms. Here's the step-by-step process:
1. Start with the expression: 3a(3a - 2b) + b^2 + c^2
2. Apply the distributive property by multiplying 3a to each term inside the parentheses:
= 9a^2 - 6ab + b^2 + c^2
3. Now, you have combined the terms within the parentheses. Next, look for any like terms that can be combined. In this case, there is only one combination:
= 9a^2 - 6ab + b^2 + c^2
4. Finally, the expression is simplified:
= 9a^2 - 6ab + b^2 + c^2
Therefore, the simplified expression is 9a^2 - 6ab + b^2 + c^2.