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

a) 4g^6+16
b)4g^6+16g^3+16
c)4g^6+8
d)4g^9+16g^3+8

User Agat
by
7.3k points

2 Answers

4 votes

Answer:

B

Explanation:

User Carlo Mazzaferro
by
8.8k points
3 votes

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


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.

User GRboss
by
7.9k points
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