Answer: b) [tex]4g^6+16g^3+16[/tex]
Step-by-step explanation:
Given expression: [tex](2g^3+4)^2[/tex]
Here [tex](2g^3+4)[/tex] is a binomial and square of a binomial must be a perct square trinomial.
Using pattern [tex](a+b)^2=a^2+2ab+b^2[/tex]
We get [tex](2g^3+4)^2=(2g^3)^2+2(2g^3)(4)+4^2[/tex]
[tex]=4g^{3\cdot2}+16g^3+16\\=4g^6+16g^3+16[/tex]
Thus b) is the right option.
