Respuesta :
Answer:
[tex](5z^2+3z+2)^2=25z^4+30z^3+29z^2+12z+4[/tex]
Step-by-step explanation:
We have ;
[tex](5z^2+3z+2)^2=[/tex]
[tex](a+b)^2=a^2+b^2+2ab[/tex]
[tex] a = (5z^2+3z)[/tex]
b = 2
[tex]=(5z^2+3z)^2+4+2\times (5z^2+3z)\times 2[/tex]
[tex]=(25z^4+9z^2+2\times 5z^2\times 3z)+4+4(5z^2+3z)[/tex]
[tex]=25z^4+9z^2+30z^3+4+20z^2+12z[/tex]
[tex]=25z^4+30z^3+29z^2+12z+4[/tex]
So, [tex](5z^2+3z+2)^2=25z^4+30z^3+29z^2+12z+4[/tex]
