Question

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

Answer 1

B

Explanation:

Answer 2

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.