Question

(x + 2)(2x – 3) = (2x + 1)(x – 2)​

Answer 1

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Answer 2

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

$\sf \bf (x + 2)(2x - 3) = (2x + 1)(x - 2)$

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

$\sf \bf \implies (x + 2)(2x - 3) = (2x + 1)(x - 2)$

$\sf \bf \implies x(2x-3)+2(2x-3)=2x(x-2)+1(x-2)$

$\sf \bf \implies 2{x}^{2}-3x+4x-6=2{x}^{2}-4x+x-2$

$\sf \bf \implies 2{x}^{2}+1x-6=2{x}^{2}-3x-2$

$\sf \bf \implies 2{x}^{2}-2{x}^{2}+1x+3x-6+2=0$

$\sf \bf \implies \cancel {2{x}^{2}-2{x}^{2}} +1x+3x-6+2=0$

$\sf \bf \implies 4x-4=0$

$\sf \bf \implies 4x=4$

$\sf \bf \implies x=\cancel{\dfrac{4}{4}}$

$\implies {\boxed {\boxed {\sf \bf x=1}}}$

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

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

$\sf \bf {Identities}$

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

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

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

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