Càlculo con Aplicaciones

Libro de Francisco Soler

Elaborado por: Juan Sebastiàn Torres Espìndola

Ejercicio 1.4

Resolver:

1. (2x^2-3y^2)^2

var ('x,y')

(x, y)

(x, y)

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

4*x^4 - 12*x^2*y^2 + 9*y^4

4*x^4 - 12*x^2*y^2 + 9*y^4

2. (a^2+3)(a^2-3)

var ('a')

expand ((a^2+3)*(a^2-3))

a^4 - 9

a^4 - 9

3. (x^2+x+1)(x^2+x-1)

var ('x')

expand ((x^2+x+1)*(x^2+x-1))

x^4 + 2*x^3 + x^2 - 1

x^4 + 2*x^3 + x^2 - 1

4. (a-b+c)(a+b+c)

var ('a,b,c')

(a, b, c)

(a, b, c)

expand ((a-b+c)*(a+b+c))

a^2 + 2*a*c - b^2 + c^2

a^2 + 2*a*c - b^2 + c^2

5. (2x+5)(3x-2)

var ('x')

expand ((2*x+5)*(3*x-2))

6*x^2 + 11*x - 10

6*x^2 + 11*x - 10

6. (3m-2n^2)^3

var ('m,n')

(m, n)

(m, n)

expand ((3*m-2*n^2)^3)

27*m^3 - 8*n^6 + 36*m*n^4 - 54*m^2*n^2

27*m^3 - 8*n^6 + 36*m*n^4 - 54*m^2*n^2