Question

AYUDAAAAA

(2d - m)² =

(p³ + 7)² =​

Answer 1

Verified answer

Respuesta:

[tex]\left(2d-m\right)^2=4d^2-4dm+m^2[/tex]

[tex]\left(p^3+7\right)^2=p^6+14p^3+49[/tex]

Explicación paso a paso:

[tex]\left(2d-m\right)^2[/tex]

[tex]\mathrm{Aplicar\:la\:formula\:del\:binomio\:al\:cuadrado}:\quad \left(a-b\right)^2=a^2-2ab+b^2[/tex]

[tex]\left(2d-m\right)^2=\left(2d\right)^2-2\cdot \:2dm+m^2[/tex]

[tex]=\left(2d\right)^2-2\cdot \:2dm+m^2[/tex]

Simplificamos

[tex]\left(2d\right)^2-2\cdot \:2dm+m^2[/tex]

[tex]\left(2d\right)^2=\left(4d\right)^2[/tex]

[tex]-2\cdot \:2dm=-4dm\right)[/tex]

[tex]=4d^2-4dm+m^2[/tex]

[tex]\left(p^3+7\right)^2[/tex]

[tex]\mathrm{Aplicar\:la\:formula\:del\:binomio\:al\:cuadrado}:\quad \left(a+b\right)^2=a^2+2ab+b^2[/tex]

[tex]\left(p^3+7\right)^2=\left(p^3\right)^2+2p^3\cdot \:7+7^2[/tex]

[tex]=\left(p^3\right)^2+2p^3\cdot \:7+7^2[/tex]

Simplificamos

[tex]\left(p^3\right)^2+2p^3\cdot \:7+7^2[/tex]

[tex]\left(p^3\right)^2=p^6[/tex]

[tex]2p^3\cdot \:7=14p^3[/tex]

[tex]7^2=49[/tex]

[tex]=p^6+14p^3+49[/tex]

Buen día