Question

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

Answer 1

Answer:

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

$E\\\\=(x+4)^2\\\\=x^2+2\times x\times4+4^2\\\\=x^2+8x+16.$

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

Option (D) is CORRECT.