Question

Expand each of the following using suitable identity(2A-3B)^2

Answer 1

$\color{red}\huge{\underline{\underline{\mathfrak{♡Answer♡}}}}$

$\left(2A+3B\right)^2$

${\blue{\text{We know that}}$

$\left(a+b\right)^2[tex]</p><p>[tex]{\text{Here 2A is at place of A and 3B at B$

${\pink{\bold{\text{According to identity}}}}$

$\left(2A+3B\right)^2$

$\implies$$\left(2A\right)^2-\left(3B\right)^2+2\left(2A\right)\left(3B\right)$

$\implies$4A²+9B²-2(2A)(3B)

$\implies$4A²+9B²-12AB

Answer 2

Answer:

$\huge{\underline{\underline{\boxed{\sf{\red{♡ANSWER♡}}}}}}$

$\longrightarrow\large{ Expand : (2A - 3B)}^{2}$

$\large\bold{We \: know \: the \: formula,}$

$(a - b)² = a² - 2ab + b²$

•So by this we get ,

$\longrightarrow{(2A - 3B)}^{2}$

$={ (2A)² - 2(2A)(3B) + (3B)²}$

$={ 4A² - 12AB + 9B²}$