Question

Subtract 3a(a + b + c) – 2b(a – b + c) from 4c(–a + b + c). Please answer and tell how to solve it, I know how the letters represent numbers, but there is no other info, and i dont get how you are supposed to add or subtract letters.

Answer 1

$- 7ca + 6bc - ab + 4c { }^{2}$

4c(-a+b+c) - 3a( a+b+c) - 2b( a-b+c)

$- 4ca + 4cb + 4c {}^{2} - 3a {}^{2} + 3ab - 3ac + 2ba - 2b { }^{2} + 2bc$

$- 4ca - 3ac + 4cb + 2bc + 4c {}^{2} - 3a {}^{2} - 3ab + 2ba - 2b {}^{2}$

$= - 7ca + 6bc - ab + 4c {}^{2} - 2b {}^{2}$