Mathematics, 25.08.2019 05:20 geckos3411
Factorize. 9x2y-24xy2-16y3 solve it
Answers: 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)](/tpl/images/0195/6305/293ec.png)
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Factorize. 9x2y-24xy2-16y3 solve it...
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