Question

(3a-4b)^2 is equal to _____

Answer 1

Answer

9a²−24+16²

Explanation

$(3a ^{2} - 4b ^{2} )$

Expand the equation

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

Similarly

$(3 a- 4b)(3 a- 4b)$

$= > 3a(3 a- 4b) - 4b(3 a- 4b)$

$= > 9 {a}^{2} - 12ab - 12ab + 16 {b}^{2}$

$= > 9 {a}^{2} - 24ab + 16 {b}^{2}$