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

Step 1: Look for the greatest common factor (GCF). In this case, the GCF is k^2. So, factor out k^2 from each term:

k^2(k^2 - 4k + 4)

Step 2: Now, look at the expression inside the parentheses. It's a quadratic expression and can be factored further. It's in the form of a^2 - 2ab + b^2, which is a perfect square trinomial. It can be factored into (a - b)^2. Here, a is k and b is 2.

So, the factored form of the expression is:

k^2(k - 2)^2

This is the completely factored form of the given expression.

Question

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

Step 1: Look for the greatest common factor (GCF). In this case, the GCF is k^2. So, factor out k^2 from each term:

k^2(k^2 - 4k + 4)

Step 2: Now, look at the expression inside the parentheses. It's a quadratic expression and can be factored further. It's in the form of a^2 - 2ab + b^2, which is a perfect square trinomial. It can be factored into (a - b)^2. Here, a is k and b is 2.

So, the factored form of the expression is:

k^2(k - 2)^2

This is the completely factored form of the given expression.

Knowee AI · Accepted Answer

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

Step 1: Look for the greatest common factor (GCF). In this case, the GCF is k^2. So, factor out k^2 from each term:

k^2(k^2 - 4k + 4)

Step 2: Now, look at the expression inside the parentheses. It's a quadratic expression and can be factored further. It's in the form of a^2 - 2ab + b^2, which is a perfect square trinomial. It can be factored into (a - b)^2. Here, a is k and b is 2.

So, the factored form of the expression is:

k^2(k - 2)^2

This is the completely factored form of the given expression.

Factor Completelyk, to the power 4 , minus, 4, k, cubed, plus, 4, k, squaredk 4 −4k 3 +4k 2

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