Question

simplify the equation (a+b-c) (a-b+c)​

Answer 1

${\huge{\pink{\underbrace{\overbrace{\mathbb{\blue{ANSWER:-}}}}}}}$

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

=a(a-b+c)+b(a-b+c)-c(a-b+c)

=a²-ab+ac+ab-b²+bc-ac+bc-c²

=a²-b²-c²-ab+ab+ac-ac+bc+bc

=a²-b²-c²+bc+bc

$\huge\boxed{\red{a²-b²-c²+2b}}$

Answer 2

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LHS = AB+A'C+BC

= AB+A'C+BC (A+A') [ A+A'=1 ]

= AB+A'C+ABC+A'BC

= AB+ABC+A'C+A'BC

= AB (1+C)+A'C (1+B)

= AB+A'C

[ 1+C=1 ]