Question

factorise 9x²-12xy+4y²-16z²​

Answer 1

Answer:

$\sf \: Factotize : 9 {x}^{2} - 12xy + 4 {y}^{2} - 16 {z}^{2} \\ \\ \implies \: \sf (9 {x}^{2} - 12xy + 4 {y}^{2} ) - 16 {x}^{2} \\ \\ \implies \sf[{{(3 {x}^{2}) - 2.3x.2y + (2 {y}^{2} }}) ]- (4 z ) ^{2} \\ \\ \implies \: \sf (3x - 2y)^{2} - (4z) ^{2} \\ \\ \implies \: \sf (3x - 2y + 4z)(3x - 2y + 4z)$