Question

Factor the expression. 16j2 + 24j + 9

Answer 1

a² + 2ab + b² = (a+b)²

So we get
16j² + 24j + 9 = (4j+3)²

Answer 2

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*4j*3+3^2\\\\=(4j+3)^2\\\\=(4j+3)(4j+3).`

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