Question

Select the expression that is equivalent to (x+4)^2

Answer 1

So for this problem, we can use the formular:

(A + B)² = A² + 2AB + B²

Our orginal expression is: (x + 4)². In this expression, A can be written as x, B represents for 4, that leads to our answer:

(x + 4)² = x² + 2 . 4x + 4² = x² + 8x + 16

The correct answer will be D

Answer 2

Answer: the correct option is (D)
`x^2+8x+16.`

Step-by-step explanation: We are given to select the expression that is equivalent to the following expression :

`E=(x+4)^2~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We will be using the following formula :

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

Using the above formula, the expression (i) gives

`E\\\\=(x+4)^2\\\\=x^2+2* x*4+4^2\\\\=x^2+8x+16.`

Thus, the required equivalent expression is
`x^2+8x+16.`

Option (D) is CORRECT.