Question

Factor the expression. 16j2 + 24j + 9

Answer 1

Answer:  The required factored form of the given expression is $(4j+3)(4j+3).$

Step-by-step explanation:  We are given to factor the following quadratic expression :

$E=16j^2+24j+9~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following factorization formula :

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

The factorization of expression (i) is as follows :

$E\\\\=16j^2+24j+9\\\\=(4j)^2+2\times4j\times3+3^2\\\\=(4j+3)^2\\\\=(4j+3)(4j+3).$

Thus, the required factored form of the given expression is $(4j+3)(4j+3).$

Answer 2

A² + 2ab + b² = (a+b)²

So we get 
16j² + 24j + 9 = (4j+3)²