Question

(2x³+8y⁴)²



Me ayuda porfavor es de Álgebra ​

Answer 1

Explicación paso a paso:

Reordenar términos

(23+84)2

({\color{#c92786}{2x^{3}+8y^{4}}})^{2}(2x3+8y4)2

(84+23)2

({\color{#c92786}{8y^{4}+2x^{3}}})^{2}(8y4+2x3)2

2

Desarrolla el cuadrado

(84+23)2

\left(8y^{4}+2x^{3}\right)^{2}(8y4+2x3)2

(84+23)(84+23)

(8y^{4}+2x^{3})(8y^{4}+2x^{3})(8y4+2x3)(8y4+2x3)

3

Distribuye

(84+23)(84+23)

{\color{#c92786}{(8y^{4}+2x^{3})(8y^{4}+2x^{3})}}(8y4+2x3)(8y4+2x3)

8(84+23)⋅4+2(84+23)⋅3

{\color{#c92786}{8(8y^{4}+2x^{3}) \cdot y^{4}+2(8y^{4}+2x^{3}) \cdot x^{3}}}8(8y4+2x3)⋅y4+2(8y4+2x3)⋅x3

4

Distribuye

8(84+23)⋅4+2(84+23)⋅3

{\color{#c92786}{8(8y^{4}+2x^{3}) \cdot y^{4}}}+2(8y^{4}+2x^{3}) \cdot x^{3}8(8y4+2x3)⋅y4+2(8y4+2x3)⋅x3

648+1634+2(84+23)⋅3

{\color{#c92786}{64y^{8}+16x^{3}y^{4}}}+2(8y^{4}+2x^{3}) \cdot x^{3}64y8+16x3y4+2(8y4+2x3)⋅x3

5

Distribuye

648+1634+2(84+23)⋅3

64y^{8}+16x^{3}y^{4}+{\color{#c92786}{2(8y^{4}+2x^{3}) \cdot x^{3}}}64y8+16x3y4+2(8y4+2x3)⋅x3

648+1634+1634+46

64y^{8}+16x^{3}y^{4}+{\color{#c92786}{16x^{3}y^{4}+4x^{6}}}64y8+16x3y4+16x3y4+4x6

6

Combina los términos semejantes

648+1634+1634+46

64y^{8}+{\color{#c92786}{16x^{3}y^{4}}}+{\color{#c92786}{16x^{3}y^{4}}}+4x^{6}64y8+16x3y4+16x3y4+4x6

648+3234+46

64y^{8}+{\color{#c92786}{32x^{3}y^{4}}}+4x^{6}64y8+32x3y4+4x6

rodendiando

Solución

648+3234+46