Question

Factor the expression. 16j2 + 24j + 9

Answer 1

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

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.