The expression you provided is u^4 + 4u^3 + 4u^2. To factor this completely, we can follow these steps:

Step 1: Identify the greatest common factor (GCF). In this case, the GCF is u^2.

Step 2: Factor out the GCF from each term. This gives us u^2(u^2 + 4u + 4).

Step 3: Look at the expression inside the parentheses. It is a perfect square trinomial, which can be factored as (u + 2)^2.

So, the completely factored form of the expression is u^2(u + 2)^2.

Question

The expression you provided is u^4 + 4u^3 + 4u^2. To factor this completely, we can follow these steps:

Step 1: Identify the greatest common factor (GCF). In this case, the GCF is u^2.

Step 2: Factor out the GCF from each term. This gives us u^2(u^2 + 4u + 4).

Step 3: Look at the expression inside the parentheses. It is a perfect square trinomial, which can be factored as (u + 2)^2.

So, the completely factored form of the expression is u^2(u + 2)^2.

Knowee AI · Accepted Answer

The expression you provided is u^4 + 4u^3 + 4u^2. To factor this completely, we can follow these steps:

Step 1: Identify the greatest common factor (GCF). In this case, the GCF is u^2.

Step 2: Factor out the GCF from each term. This gives us u^2(u^2 + 4u + 4).

Step 3: Look at the expression inside the parentheses. It is a perfect square trinomial, which can be factored as (u + 2)^2.

So, the completely factored form of the expression is u^2(u + 2)^2.

Factor Completelyu, to the power 4 , plus, 4, u, cubed, plus, 4, u, squaredu 4 +4u 3 +4u 2