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Paulopv
@Paulopv
January 2020
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Efetue e simplifique: (x + 4y) . (x-y) - 3xy/2x²-4y.(2x-2y)
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valsantina
X²-xy+4xy-4y²-3xy
_______________
2x²-8xy+8y²
x²-4y²
_____
2(x²-4xy+4y²)
(x+2y)(x-2y)
_________
2(x-2y)(x-2y)
= (x+2y)
_____
2(x-2y)
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_______________
2x²-8xy+8y²
x²-4y²
_____
2(x²-4xy+4y²)
(x+2y)(x-2y)
_________
2(x-2y)(x-2y)
= (x+2y)
_____
2(x-2y)