Question

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

Answer 1

(2g^2 + 4)^2
(2g^2)^2 + 4^2 + 2×2g^2×4
4g^4 + 16 + 16g^2 or, 4 (g^4 + 4 + 4g^2)

Answer 2

Answer:

The value of given expression is $4(g^6+4g^3+4)$.

Step-by-step explanation:

The  given expression is

$(2g^3+4)^2$

According to the perfect square formula.

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

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

$(2g^3+4)^2=4g^6+16g^3+16$

$(2g^3+4)^2=4(g^6+4g^3+4)$

Therefore the value of given expression is $4(g^6+4g^3+4)$.