Question

What expression is equivalent to (5zsquared2+3z+2)squared?

Answer 1

Assuming you mean (5z^2 + 3z + 2)^2, expand using (a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2ac + 2bc:

a = 5z^2, b = 3z, c = 2

a^2 = 25z^4
b^2 = 9z^2
c^2 = 4
2ab = 30z^3
2ac = 20z^2
2bc = 12z

Combine terms: 25z^4 + 30z^3 + 29z^2 + 12z + 4.