Question

2. Indica un término de (2xy^3 - 5xz^4)^2
a. 4y^3
b. -20x^2 y^6 z^8
c. 252z^3
d. 10xy^3 z^4
e. 4x^2 y^6​
AYUDAAA POR FAVORRRRRRRRRRRRR

Answer 1

Respuesta:

[tex]e) \: \: 4 {x}^{2} {y}^{6} [/tex]

Explicación paso a paso:

• Utilizamos:

[tex] {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} [/tex]

• Aplicamos:

[tex] {(2x {y}^{3} - 5x {z}^{4} ) }^{2} \\ {(2x {y}^{3}) }^{2} - 2(2x {y}^{3} )(5x {z}^{4} ) + {(5x {z}^{4} )}^{2} \\ 4 {x}^{2} {y}^{6} - 20 {x}^{2} {y}^{3} {z}^{4} + 25 {x}^{2} {z}^{8} [/tex]

Espero que te sirva !)