Question

3a (a - b + c) + 2b (a + b -c) – 2c (a - b - c). please give me correct answer ​

Answer 1

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

$\sf \bf 3a (a - b + c) + 2b (a + b -c) - 2c (a - b - c)$

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

$\sf \bf \implies 3a (a - b + c) + 2b (a + b -c) - 2c (a - b - c)$

$\sf \bf \implies 3{a}^{2}-3ab+3ac+2ab+2{b}^{2}-2bc-2ac+2bc+2{c}^{2}$

$\sf \bf \implies 3{a}^{2}+2{b}^{2}+2{c}^{2}-3ab+2ab+3ac-2ac \cancel {-2bc+2bc}$

$\implies {\boxed {\color{red} {\sf \bf 3{a}^{2}+2{b}^{2}+2{c}^{2}-1ab+1ac}}}$

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

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

$\sf \bf {Identities}$

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

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

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

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