Question

calcule as adições algebricas:

a) (3x²+6x³+4x-3)+(-3x³-4x²+2x⁴+2x+5)

b) (4xy+3x-5y) (-xy+6y-5x) - (4x+2y-3xy)

c) (16a-12ba+10b) + (-8a+12ab-4)

d) (3a-5) + (2b+7) + (3c-4) - (2 abc+9)

e) (5+y-14x+16y) - (8y+x-4yx+3)​

Answer 1

Resposta:

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Answer 2

$A)\\\left(3x^2+6x^3+4x-3\right)+\left(-3x^3-4x^2+2x^4+2x+5\right)\\\\=3x^2+6x^3+4x-3-3x^3-4x^2+2x^4+2x+5\\\\=2x^4+6x^3-3x^3+3x^2-4x^2+4x+2x-3+5\\\\=2x^4+6x^3-3x^3-x^2+4x+2x-3+5\\\\=2x^4+3x^3-x^2+4x+2x-3+5\\\\=2x^4+3x^3-x^2+6x-3+5\\\\=2x^4+3x^3-x^2+6x+2$

$B)\\\left(4xy+3x-5y\right)\left(-xy+6y-5x\right)-\left(4x+2y-3xy\right)\\\\=-4x^2y^2-23x^2y-15x^2+29xy^2+43xy-30y^2-\left(4x+2y-3xy\right)\\\\=-4x^2y^2-23x^2y-15x^2+29xy^2+43xy-30y^2-4x-2y+3xy\\\\=-4x^2y^2-23x^2y-15x^2+29xy^2+46xy-4x-30y^2-2y$

$C)\\\left(16a-12ba+10b\right)+\left(-8a+12ab-4\right)\\\\=16a-12ba+10b-8a+12ab-4\\\\=-12ab+12ab+16a-8a+10b-4\\\\=-12ab+12ab+8a+10b-4\\\\=8a+10b-4$

$D)\\\left(3a-5\right)+\left(2b+7\right)+\left(3c-4\right)-\left(2abc+9\right)\\\\=3a-5+2b+7+3c-4-\left(2abc+9\right)\\\\=3a-5+2b+7+3c-4-2abc-9\\\\=3a-2abc+2b+3c-11$

$E)\\\left(5+y-14x+16y\right)-\left(8y+x-4yx+3\right)\\\\=5+y-14x+16y-\left(8y+x-4yx+3\right)\\\\=5+y-14x+16y-8y-x+4yx-3\\\\=4yx+9y+2-15x$