Question

Efetue cada uma das seguintes divisões
a) (35a⁴b² + 20a³b³) : ( - 5a³b²)

b) (a²b²c² + a³bc - abc³ : (abc) =

c) (2,5a⁴b - 4,5a⁵b³) : (-5ab) =

d) (9×⁵ - 18x⁴ + 36x³ - 72x²) : (-9x²) =

Answer 1

Explicação passo-a-passo:

$a)(35a {}^{4} b {}^{2} + 20a {}^{3} b {}^{3} ) \div ( - 5a {}^{3} b {}^{2} ) =$

$\frac{35a {}^{4} b {}^{2} }{ - 5a {}^{3} b {}^{2} } + \frac{20a {}^{3}b {}^{3} }{ - 5a {}^{3} b {}^{2} } = - 7a {}^{4 - 3} b { } {}^{2 - 2} - 4a {}^{3 - 3} b {}^{3 - 2} = - 7a - 4b$

$b)(a {}^{2} b {}^{2} c {}^{2} + a {}^{3} bc - abc {}^{3} ) \div (abc) =$

$\frac{a {}^{2} b {}^{2}c {}^{2} }{abc} + \frac{a {}^{3} bc}{abc} - \frac{abc {}^{3} }{abc} = a {}^{2 - 1} b {}^{2 - 1} c {}^{2 - 1} + a {}^{3 - 1} b {}^{1 - 1} c {}^{1 - 1} - a {}^{1 - 1} b {}^{1 - 1} c {}^{3 - 1} = abc + a - c {}^{2}$

$c)(2.5a {}^{4} b - 4.5a {}^{5} {}^{} b {}^{3} ) \div ( - 5ab) =$

$- 0.5a {}^{3 - 2} b {}^{1 - 1} + 0.9a {}^{5 - 1} b {}^{3 - 2} = - 0.5a + 0.9a {}^{4} b {}^{2}$

$d)(9x {}^{5} - 18x {}^{4} + 36x {}^{3} - 72x {}^{2} ) \div ( - 9x {}^{2} ) =$

$- x {}^{5 - 2} + 2x {}^{4 - 2 } - 4x {}^{3 - 1} + 8x {}^{1 - 1} = - x {} {}^{3} + 2x {}^{2} - 4x {}^{2} + 8 = x {}^{3} - 2x {}^{2} + 8$