1) Reduza a termos semelhantes os monômios
a)9a+5b-4a-b+2a
b)x²+6x²-4x+x+1
c)4x²-3x-2-x²+x+2
d)-3x-2y+1+7x-5y+3-2x-y+9+2x+y
e)25x²-10xy+9y²-16x²+12xy-9y²-x²+y²
2)Reduza a termos semelhantes os polinômios
a)(3x-4y+7z) + (2x-3y-z)=
b)(x²-2x+1) + (3x²+4x-2) + (x²-2x+2)=
c)(y-7x) + (3x-6y) + (2y-7x) + (-x-3y)=
d)(2x²+3x-1) + (3x²+4x+5) - (x²+3x+3)=
e)(3x+2y+z) - (2x+y-z) - (4x-3y-3z)=
Respostas
1)
a)
9a+5b-4a-b+2a
7a+4b
b)
x² + 6x² - 4x + x + 1
7x² - 3x + 1
c)
4x² - 3x - 2 - x² + x + 2
3x² - 2x
d)
- 3x - 2y + 1 + 7x - 5y + 3 - 2x - y + 9 + 2x + y
4x - 7y + 13
e)
25x²-10xy+9y²-16x²+12xy-9y²-x²+y²
24x² + 2xy - 16 + y²
2)
a)
(3x-4y+7z) + (2x-3y-z)
5x - 7y + 6z
b) (x²-2x+1) + (3x²+4x-2) + (x²-2x+2)
5x² + 1
c)
(y-7x) + (3x-6y) + (2y-7x) + (-x-3y)
-6 (y + 2x)
d)
(2x²+3x-1) + (3x²+4x+5) - (x²+3x+3)
(2x + 1)²
e)
(3x+2y+z) - (2x+y-z) - (4x-3y-3z)
-3x + 4y + 5z
Resposta:
1- A) 9a+5b-4a-b+2a
11a+5b-4a-b
7a+5b-b
7a+4b
B) x²+6ײ-4x+x+1
7x²-3x+1
C) 4x²-3x-2-x²+x+2
3x²-3x-2+x+2
3x²-2x-2+2
3x²-2x
D) -3x-2y+1+7x-5y+3-2x-y+9+2x+y
4x-2y+1-5y+3-2x-y+9+2x+y
6x-2y+1-5y+3-2x-y+9+y
4x-2y+1-5y+3-y+9+y
4x-7y+1+3-y+9+y
4x-7y+1+3+9
4x-7y+13
E) 25x²-10xy+9y²-16x²+12xy-9y²-x²+y²
9x²-10xy+9y²+12xy-9y²-x²+y²
8x²-10xy+9y²+12xy-8y²
8x²+2+y²
2- A) (3x-4y+7z)+(2x-3y-z)=
5x-7y+6z
B) (x²-2x+1)+(3x²+4x-2)+(x²-2x+2)=
(4x²+2x-1)+(x²-2x+2)=
5x²+1
C) (y-7x)+(3x-6y)+(2y-7x)+(-x-3y)=
(-5y-4x)+(-y-8x)=
-6y-12x
D)(2x²+3x-1)+(3x²+4x+5)-(x²+3x+3)=
(5x²+7x+4)-(x²+3x+3)=
4x²+4x+1
E) (3x+2y+z)-(2x+y-z)-(4x-3y-3z)=
(x+y+2z)-(4x-3y-3z)=
-3x+4y+5z
Explicação passo a passo:
Não tenho 100% de certeza,porém dei meu máximo...Espero ter ajudado!