Question

simplify (a+b+c) (a+b-c)​

Answer 1

QUESTION :

Simplify (a+b+c) (a+b-c)

SOLUTION :

$= a(a+b-c) + b(a+b-c)+ c(a+b-c) \\ </p><p>= (a×a)+(a×b)-(a×c)+ \\ (b×a) + (b×b) +(b×c)+ \\ (c×a)+(c×b)+(c×c) \\ = a {}^{2} + ab - ac + ba + b {}^{2} - bc + ca + cb - c {}^{2} \\ = a {}^{2} + ab - ac + ab + b {}^{2} - bc + ac + bc - c {}^{2} \\ = a {}^{2} + b {}^{2} - c {}^{2} + ab + ab - bc + bc - ac + ac \\ = a {}^{2} + b {}^{2} - c {}^{2} + ab$