Question

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

Answer 1

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

Answer 2

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

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* (5z^2+3z)* 2`

`=(25z^4+9z^2+2* 5z^2* 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`