Question

Factorize 9x^2y-24xy^2-16y3 solve it please

Answer 1

$9x^2y-24xy^2-16y^3=y(9x^2-24xy-16y^2)\\\\=y(9x^2-24xy+16y^2-32y^2)=y[(3x)^2-2\cdot3x\cdot4y+(4y)^2-32y^2]\\\\=y[(3x-4y)^2-32y^2]=y[(3x-4y)^2-16\cdot2y)]\\\\=y[(3x-4y)^2-(4\sqrt2\ y)^2]=y(3x-4y-4\sqrt2\ y)(3x-4y+4\sqrt2\ y)$

Answer 2

9 x² y - 24 x y² - 16 y³
= y (9 x² - 24 xy - 16 y² )  = y [  (3 x - 4y)² - 32 y² ]
=  y  (3x - 4y + √32 y)  (3x-4y - √32 y)                        √32 = 4√2
= y [ 3x + 4(√2-1)y ]  [ 3x - 4(√2+1)y ]