Question

Hat expression is equivalent to (5z^2+3z+2)^2

Answer 1

25z^4+30z^3+29z^2+12z+4

Answer 2

Answer:

$(5z^2+3z+2)^2=25z^4+30z^3+29z^2+12z+4$

Step-by-step explanation:

We have ;

$(5z^2+3z+2)^2=$

$(a+b)^2=a^2+b^2+2ab$

$a = (5z^2+3z)$

b = 2

$=(5z^2+3z)^2+4+2\times (5z^2+3z)\times 2$

$=(25z^4+9z^2+2\times 5z^2\times 3z)+4+4(5z^2+3z)$

$=25z^4+9z^2+30z^3+4+20z^2+12z$

$=25z^4+30z^3+29z^2+12z+4$

So, $(5z^2+3z+2)^2=25z^4+30z^3+29z^2+12z+4$