Question

Factor the expression. 16j2 + 24j + 9

(4j – 3)Factor the expression. 16j2 + 24j + 9


(4j – 3)2

(4j + 3)(4j – 3)

(4j + 3)^2

(4j – 9)(4j + 1)^2

(4j + 3)(4j – 3)

(4j + 3)^2

(4j – 9)(4j + 1)

Answer 1

Option C:
`(4 j+3)^(2)` is the correct answer.

Step-by-step explanation:

The given expression is
`16 j^(2)+24 j+9`

We need to factor the expression.

Let us rewrite the expression as

`(4j)^(2)+24 j+(3)^2`

Also, we can rewrite the term
`24j` as
`2(4)(3)j`

Thus, we have,

`(4j)^(2)+2(4j)(3)+(3)^2`

Hence, the equation is of the form,

`(a+b)^(2)=a^(2)+2 a b+b^(2)`

where
`a=4 j` and
`b=3`

Hence, the factor of the expression can be written as
`(4 j+3)^(2)`

Thus, the factored expression is
`(4 j+3)^(2)`

Therefore, Option C is the correct answer.