paaresha
paaresha
03-08-2014
Mathematics
Answered
FACTORIZE. 9x2y-24xy2-16y3 solve it
Answer :
Аноним
Аноним
03-08-2014
[tex] 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) [/tex]
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kaitybug
kaitybug
03-08-2014
9x2y - 24xy2 + 16y3
= y( 9x2 - 24xy + 16y2)
= y{ (3x)2 - 2(3x)(4y) + (4y)2 }
= y{ (3x - 4y)2 }
= y (3x - 4y) (3x - 4y)
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