Question

Which expression is equivalent to (2g^3+4)^2

Answer 1

(2g^3+4)^2= 4g^6 + 16g^3 + 16
The answer is B.

Answer 2

Answer: b) $4g^6+16g^3+16$

Step-by-step explanation:

Given expression: $(2g^3+4)^2$

Here $(2g^3+4)$ is a binomial and square of a binomial must be a perct square trinomial.

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

We get $(2g^3+4)^2=(2g^3)^2+2(2g^3)(4)+4^2$

$=4g^{3\cdot2}+16g^3+16\\=4g^6+16g^3+16$

Thus b) is the right option.