Question

$\color{red}\boxed{QUE^STI^ON}$
Simplify it
(3a + 2b)² - 2(3a+2b)(a+2b)+(a+2b)²
$\color{red}\boxed{PLEASE\:NOTE}$
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ANSWER SHOULD BE IN STEP BY STEP METHOD
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Answer 1

We have,

$\sf {(3a + 2b)}^{2} - 2(3a + 2b)(a + 2b) + {(a + 2b)}^{2} \\ \\ = \sf { \left[ (3a + 2b) - (a + 2b)\right] }^{2} \\ \\ = \sf{(3a + 2b - a - 2b)}^{2} \\ \\ = \sf {(3a - a + 2b - 2b)}^{2} \\ \\ = \sf { \left[ (3 - 1)a + \cancel{2a} - \cancel{2a} \right] }^{2} \\ \\ = \sf {(2a)}^{2} \\ \\ = \bf4 {a}^{2} \red{ \longleftarrow} \green{ \bf answer}$

Identity used :—
$\underline{ \boxed{ \sf{(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }}$

$\mid \underline{\underline{\LARGE\bf\green{Brainliest \: Answer}}}\mid$

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