Question

Cual es la respuesta de (x10+10y12) al cuadrado​

Answer 1

Answer:

$\mathrm{Expand}\:\left(x^{10}+10y^{12}\right)^2:\quad x^{20}+20x^{10}y^{12}+100y^{24}$

Step-by-step explanation:

$\left(x^{10}+10y^{12}\right)^2$

$\gray{\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2}$

$\gray{a=x^{10},\:\:b=10y^{12}}$

$=\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2$

$\black{\mathrm{Simplify}\:\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2:}$

$\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2$

$\gray{\left(x^{10}\right)^2=x^{20}}$

$\gray{2x^{10}\cdot \:10y^{12}=20x^{10}y^{12}}$

$\gray{\left(10y^{12}\right)^2=100y^{24}}$

$=x^{20}+20x^{10}y^{12}+100y^{24}$