Question

Subtract 3a(a + b + c) – 2b(a – b + c) from 4c(–a + b + c). Please do not just tell the answer, I need to know how to solve this and how it works. Since I do not know.

Answer 1

-3a² - ab - 7ac - 2b² + 6bc + 4c²

Explanation:

Step 1: Distribute

3a² + 3ab + 3ac - 2ab + 2b² -2bc

Step 2: Combine like terms

3a² + ab + 3ac + 2b² - 2bc

Step 3: Distribute again

-4ac + 4bc + 4c² - (3a² +ab + 3ac + 2b² -2bc)

Step 4: Combine like terms again

-3a² - ab - 7ac - 2b² + 6bc + 4c²

And you have your final answer.