Question

AYUDAAAAA

(2d - m)² =

(p³ + 7)² =​

Answer 1

Respuesta:

$\left(2d-m\right)^2=4d^2-4dm+m^2$

$\left(p^3+7\right)^2=p^6+14p^3+49$

Explicación paso a paso:

$\left(2d-m\right)^2$

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

$\left(2d-m\right)^2=\left(2d\right)^2-2\cdot \:2dm+m^2$

$=\left(2d\right)^2-2\cdot \:2dm+m^2$

Simplificamos

$\left(2d\right)^2-2\cdot \:2dm+m^2$

$\left(2d\right)^2=\left(4d\right)^2$

$-2\cdot \:2dm=-4dm\right)$

$=4d^2-4dm+m^2$

$\left(p^3+7\right)^2$

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

$\left(p^3+7\right)^2=\left(p^3\right)^2+2p^3\cdot \:7+7^2$

$=\left(p^3\right)^2+2p^3\cdot \:7+7^2$

Simplificamos

$\left(p^3\right)^2+2p^3\cdot \:7+7^2$

$\left(p^3\right)^2=p^6$

$2p^3\cdot \:7=14p^3$

$7^2=49$

$=p^6+14p^3+49$

Buen día