Question

a). Simplificar las siguientes expresiones algebraicas:

1). 4p + 5p –7p =
2). 9x^2 – 3x + 5x – 5x^2=
3). (mn^2 – 4m + 3m^2) · 2 – [– (m^2 n + 4m^2 – n^2) + 3m] =
4). (-1/5)[(2/3 x+4/3 x)-(1/2x+9/2x)]=
5). -1/3 (x/4+y/2+z)+(-x-y-z)=

Answer 1

Al simplificar las expresiones dadas se obtiene:

1). 4p + 5p –7p = 2p

2). 9x^2 – 3x + 5x – 5x^2= 2x(2x + 1)

3). (mn^2 – 4m + 3m^2) · 2 – [– (m^2 n + 4m^2 – n^2) + 3m] = m²(n + 10) + 2m(n² - 4) - n(n + 3)

4). (-1/5)[(2/3 x+4/3 x)-(1/2x+9/2x)] = (3/5)x

5). -1/3 (x/4+y/2+z)+(-x-y-z) = -(1/3)((13/4)x + (7/2)y + z)

Resolución de las expresiones algebraicas

1). 4p + 5p –7p = p(4 + 5 - 7) => 4p + 5p –7p = 2p

2). 9x^2 – 3x + 5x – 5x^2 = x²(9 - 5) + x(-3 + 5)

      9x^2 – 3x + 5x – 5x^2 = 4x² + 2x => 9x^2 – 3x + 5x – 5x^2 = 2x(2x + 1)

 3). (mn^2 – 4m + 3m^2) · 2 – [– (m^2 n + 4m^2 – n^2) + 3m] =

 - = 2mn² - 8m + 6m² + m²n + 4m² - n² - 3n =

 - = m²(6 + 4) - 8m + 2mn² + m²n - n² - 3n =

 - = m²(n + 10) + 2m(n² - 4) - n(n + 3)

4). (-1/5)[(2/3 x+4/3 x)-(1/2x+9/2x)] = (-1/5)(6/3x - 10/2x) = (-1/5)(2x - 5x)

    (-1/5)[(2/3 x+4/3 x)-(1/2x+9/2x)] = (3/5)x

5). -1/3 (x/4+y/2+z)+(-x-y-z) = - x/12 - x - y/6 - y - z/3 - z =

- = -x(1/12 + 1) - y(1/6 + 1) - z(1/3 + 1) = -(13/12)x - (7/6)y - (4/3)z

    -1/3 (x/4+y/2+z)+(-x-y-z) = (-1/3)((13/4)x + (7/2)y + 4z)

 

 

Answer 2

Respuesta:

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Explicación: