Question

Determine os polinômios que representam:

a) (15a - 7b + 4c) + (-8b + 3c- 9a)

b) (2y² - 3ay + 4a²) - (ay - 5y² - a²)

c) (3a³ - 2a²b + 5ab²-6b³) + (7a²b- 5a³ + b³ - 6ab²)

d) (x² - 3xy + y² - x²y²) + (+x2 + 5x²y² + y² + 3xy)

e) (a² - 1,6b²+ 0,9c²) - (0,8a² - b² + 1,7c²)

f) (7a²- 3ab+ 2b²)-(3a²- 5ab- c²- 3b²)+(-6ab+ c²)

g) (0,9x³- 1,8x+ 1)+(-1,3x²+ 2,6x- 2)-(0,7x³- 1,6x²+ 0,4x+ 5)

h) (ab+ a²b²- 7a- b)-(4a²b²- 7a+ 3b- ab)+(4b+ 5a²b²)

i) (7y³- 2y²+ 3y- 5)+(y³- 4y+ 9)-(5y³+ 4y²- y+ 1)

nao e múltipla escolha ​

Answer 1

Resposta:

a) (15a - 7b + 4c) + (-8b + 3c- 9a)

$15a-7b+4c-8b+3c-9a\\6a-15b+7c$

b) (2y² - 3ay + 4a²) - (ay - 5y² - a²)

$2y^{2}-3ay+4a^{2}-ay+5y^{2}+a^{2}\\7y^{2}-4ay+5a^{2}$

c) (3a³ - 2a²b + 5ab²-6b³) + (7a²b- 5a³ + b³ - 6ab²)

$3a^{3}-2a^{2}b+5ab^{2}-6b^{3} +7a^{2}b-5a^{3}+b^{3}-6ab^{2}\\-2a^{3}+5a^{2}b-ab^{2}-5b^{3}$

d) (x² - 3xy + y² - x²y²) + (+x2 + 5x²y² + y² + 3xy)

$x^{2} -3xy+y^{2}-x^{2} y^{2}+x^{2} +5x^{2}y^{2}+y^{2}+3xy\\2x^{2}+2y^{2} +4x^{2} y^{2}$

e) (a² - 1,6b²+ 0,9c²) - (0,8a² - b² + 1,7c²)

$a^{2}-1,6b^{2}+0,9c^{2} -0,8a^{2}+b^{2}-1,7c^{2}\\0,2a^{2}-0,6b^{2}-0,8c^{2}$

f) (7a²- 3ab+ 2b²)-(3a²- 5ab- c²- 3b²)+(-6ab+ c²)

$7a^{2} -3ab+2b^{2}-3a^{2}+5ab+c^{2}+3b^{2}-6ab+c^{2}\\4a^{2}-4ab+5b^{2}+2c^{2}$

g) (0,9x³- 1,8x+ 1)+(-1,3x²+ 2,6x- 2)-(0,7x³- 1,6x²+ 0,4x+ 5)

$0,9x^{3}-1,8x+1-1,3x^{2}+2,6x-2-0,7x^{3}+1,6x^{2} -0,4x-5\\0,2x^{3}+4x-6+0,3x^{2}\\0,2x^{3}+0,3x^{2}+4x-6$

h) (ab+ a²b²- 7a- b)-(4a²b²- 7a+ 3b- ab)+(4b+ 5a²b²)

$ab+a^{2} b^{2}-7a-b-4a^{2}b^{2}+7a-3b+ab+4b+5a^{2} b^{2}\\2ab +2a^{2} b^{2}$

i) (7y³- 2y²+ 3y- 5)+(y³- 4y+ 9)-(5y³+ 4y²- y+ 1)

$7y^{2}-2y^{2}+3y-5+y^{3} -4y+9-5y^{3} -4y^{2}+y-1\\y^{2}+3-4y^{3}\\-4y^{3}+y^{2}+3$