Question

Opera los siguientes monomios paso a paso :
(a) 3x – 7x + 2x =
(b) −x2+3x2−5x2 =
(c) 3x2·7x5 =
(d) xy2·3x3 =
(e) 9x6:3x2 =
(f) −12x5 3x4 =
(g) (3x4)2 =
(h) −3x·4x2+7x2 =

Answer 1

(a) 3x – 7x + 2x =

x (3 - 7 +2) =

x (-2)

-2 x

(b) −x2+3x2−5x2 =

x^2 (-1 + 3 - 5) =

x^2 (-3)

-3 x^2

(c) 3x2*7x5 =

(3*7)*(x^2 * x^5)

21 * (x^7)

21 x^7

(d) xy2·3x3 =

(2 * 3) * (x*x^3) * y^2

6 * x^4 * y^2

6 $x^{4}*y^{2}$

(e) 9x6:3x2 =

(9 * 3) * (x^6*x^2)

27 * x^8

27 x^8

(f) −12x5 3x4 =

((-12)*3) * (x^5*x^4)

-26 * x^9

-26 x^9

(g) (3x4)2 =

(3)^2 * (x^4)^2

(3*3) * (x^4 * x^4)

9 * x^8

9 x^8

(h) −3x·4x2+7x2 =

((-3)*4) * (x*x^2) + 7x^2

-12 * x^3 + 7x^2

-12 x^3 + 7x^2

x^2 (-12x + 7)