Question

9(a-2b)^2-16(2a-3b)^2​

Answer 1

Answer:

(3a-6b)²- (8a-12b)²

= (9a²+36b²-36ab)- (64a²+144b²-192ab)

= 9a²+36b²-36ab-64a²-144b²+192ab

=-55a²-108b²+156ab

Answer 2

$✧\huge \mathcal \red {\underline{\underline{A}}}\huge \mathcal \green {\underline{\underline{N}}} \huge \mathcal \pink {\underline{\underline{S}}} \huge \mathcal \blue {\underline{\underline{W}}} \huge \mathcal \orange {\underline{\underline {E}}} \huge \mathcal \purple {\underline{\underline{R}}} ✧$

$\large\bold\red{factorize : } \\ \small\bold\red{9{(a - 2b)}^{2} - 16 {(2a - 3b)}^{2}}$

$\small\bold\red{Answer}$

$9{(a - 2b)}^{2} - 16 {(2a - 3b)}^{2} \\ = {3}^{2} {(a - 2b)}^{2} - {4}^{2} {(2a - 3b)}^{2} \\ = {(3a - 6b)}^{2} - {(8a - 12b)}^{2} \\ = (3a - 6b + 8a - 12b)(3a - 6b - 8a + 12b) \\ = (5a - 18b)(6b - 5a)$

$\red{\textsf{(✪MARK BRAINLIEST✿)}} \\ \huge\fcolorbox{aqua}{aqua}{\red{FolloW ME}}$