Question

a(b-c)- b (c-a) -c (a-b)​

Answer 1

Answer:

2a(b-c) or 2(ab-ac)

Step-by-step explanation:

a(b-c)- b (c-a) -c (a-b)=ab-ac-bc+ab-ac+ab

=2ab-2ac

=2a(b-c) or 2(ab-ac)

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\sf \bf a(b-c)- b (c-a) -c (a-b)$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf \implies a(b-c)- b (c-a) -c (a-b)$

$\sf \bf \implies ab-ac- bc+ab-ac+bc$

$\sf \bf \implies ab+ab-ac-ac \cancel {-bc+bc}$

$\implies {\boxed {\color {red} {2ab-2ac}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

_________________________________________

$\sf \bf \huge {\boxed {\mathbb {EXTRA\:INFORMATION}}}$

$\tt {Identities}$

$\sf \bf {(a+b)}^{2}={a}^{2}+2ab+{b}^{2}$

$\sf \bf {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$

$\sf \bf (a+b) (a-b) ={a}^{2}-{b}^{2}$

${\mathbb{\colorbox {orange} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {lime} {\boxed{\boxed{\boxed{\boxed{\boxed{\colorbox {aqua} {@suraj5070}}}}}}}}}}}}}}}$