Math, asked by cbnayana, 9 days ago

Simplify:

(4x
2 − 9y
2
)
3 + ( 9y

2 − 16y
2
)
3 + (16z
2 − 4x
2
)
3

(2x − 3y)

3 + (3y − 4z )

3 + (4z − 2x )
3

Answers

Answered by rayatmonu8
0

Answer:

Clear your question first

Answered by 160336mokshithagbkm
1

Simplify \frac{(4x^{2} -9y^{2})^{3} +(9y^{2} -13y^{2})^{3} +(16z^{2} - 4x^{2} )^{3}}{(2x-3y)^{3} + (3y-4z)^{3} +(4z-2x)^{3} }

\frac{(4x^{2} -9y^{2})^{3} +(9y^{2} -13y^{2})^{3} +(16z^{2} - 4x^{2} )^{3}}{(2x-3y)^{3} + (3y-4z)^{3} +(4z-2x)^{3} }

= \frac{-432x^{3}y^{2} +768x^{4}z^{2}  +972x^{2} y^{4} - 3072x^{2} y^{4} - 1072y^{6} +4096z^{6}}{-36x^{2} y +48x^{2} z+54xy^{2}-108y^{2}z +144yz^{2}   }

= \frac{-216x^{4}y^{2} +384x^{4} z^{2} +486x^{2} y^{4} -1536x^{2} z^{4} -536y^{6} +2048z^{6}}{-18x^{2}y +24x^{2}z+27xy^{2} -48xz^{2}  -54y^{2}z+72yz^{2}  }

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