Question

Factor the trinomial and simplify: (x + ____ )² = _____

Answer 1

First one is -3 second -4

Answer 2

Answer:

The complete expression is :  (x + 4 )² = (x + 4)(x + 4)

Step-by-step explanation:

We are given the equation as :  (x + ____ )² = _____

Now, this is said to be a trinomial and as the trinomial contains three terms. So, we need to fill the first blank in such a way that when we expand it, we get three terms

Let the first blank be 4

⇒ The given expression reduces to : (x + 4)²

Now, expanding the above equation

⇒ x² + 8x + 16

Now, we need to form the factors of this expression

⇒ x² + 4x + 4x + 16

⇒ x(x + 4) + x(x + 4)

⇒ (x + 4)(x + 4)

Hence, the complete expression is :  (x + 4 )² = (x + 4)(x + 4)