Al efectuar:
10 – {[(9 + 3) x 5 – 12 ÷ 3] – (2 + 8)}x (-6) ÷ 4 x (2 + 15) x 3 =
, se obtiene:
a.
5579
b.
-5597
c.
5599
d.
5589
e.
5597
Respuestas a la pregunta
Respuesta:
Explicación paso a paso:1 Simplifica 9+39+3 a 1212.
10-(12{x}^{5}-\frac{12}{3})-(2+8)x\times \frac{-6}{4}x(2+15){x}^{3}
10−(12x
5
−
3
12
)−(2+8)x×
4
−6
x(2+15)x
3
2 Simplifica \frac{12}{3}
3
12
a 44.
10-(12{x}^{5}-4)-(2+8)x\times \frac{-6}{4}x(2+15){x}^{3}
10−(12x
5
−4)−(2+8)x×
4
−6
x(2+15)x
3
3 Simplifica 2+82+8 a 1010.
10-(12{x}^{5}-4)-10x\times \frac{-6}{4}x(2+15){x}^{3}
10−(12x
5
−4)−10x×
4
−6
x(2+15)x
3
4 Simplifica 2+152+15 a 1717.
10-(12{x}^{5}-4)-10x\times \frac{-6}{4}x\times 17{x}^{3}
10−(12x
5
−4)−10x×
4
−6
x×17x
3
5 Usa esta regla: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}
b
a
×
d
c
=
bd
ac
.
10-(12{x}^{5}-4)-\frac{10x\times -6x\times 17{x}^{3}}{4}
10−(12x
5
−4)−
4
10x×−6x×17x
3
6 Saca las constantes.
10-(12{x}^{5}-4)-\frac{(10\times -6\times 17)xx{x}^{3}}{4}
10−(12x
5
−4)−
4
(10×−6×17)xxx
3
7 Simplifica 10\times -610×−6 a -60−60.
10-(12{x}^{5}-4)-\frac{(-60\times 17)xx{x}^{3}}{4}
10−(12x
5
−4)−
4
(−60×17)xxx
3
8 Simplifica -60\times 17−60×17 a -1020−1020.
10-(12{x}^{5}-4)-\frac{-1020xx{x}^{3}}{4}
10−(12x
5
−4)−
4
−1020xxx
3
9 Usa Regla del Producto: {x}^{a}{x}^{b}={x}^{a+b}x
a
x
b
=x
a+b
.
10-(12{x}^{5}-4)-\frac{-1020{x}^{1+1+3}}{4}
10−(12x
5
−4)−
4
−1020x
1+1+3
10 Simplifica 1+11+1 a 22.
10-(12{x}^{5}-4)-\frac{-1020{x}^{2+3}}{4}
10−(12x
5
−4)−
4
−1020x
2+3
11 Simplifica 2+32+3 a 55.
10-(12{x}^{5}-4)-\frac{-1020{x}^{5}}{4}
10−(12x
5
−4)−
4
−1020x
5
12 Mueve el símbolo negativo a la izquierda.
10-(12{x}^{5}-4)-(-\frac{1020{x}^{5}}{4})
10−(12x
5
−4)−(−
4
1020x
5
)
13 Simplifica \frac{1020{x}^{5}}{4}
4
1020x
5
a 255{x}^{5}255x
5
.
10-(12{x}^{5}-4)-(-255{x}^{5})
10−(12x
5
−4)−(−255x
5
)
14 Eliminar paréntesis.
10-12{x}^{5}+4+255{x}^{5}
10−12x
5
+4+255x
5
15 Colecciona los términos semejantes.
(10+4)+(-12{x}^{5}+255{x}^{5})
(10+4)+(−12x
5
+255x
5
)
16 Simplifica.
14+243{x}^{5}
14+243x
5