Sure, here is the step-by-step solution:

Step 1: Identify the expression
The expression given is k^2 - 6k + 9.

Step 2: Recognize the pattern
This is a perfect square trinomial pattern, which is (a - b)^2 = a^2 - 2ab + b^2.

Step 3: Factorise the expression
Comparing the given expression with the pattern, we can say that a = k and b = 3. Therefore, the factorised form of the expression is (k - 3)^2.

So, k^2 - 6k + 9 = (k - 3)^2.

Question

Sure, here is the step-by-step solution:

Step 1: Identify the expression
The expression given is k^2 - 6k + 9.

Step 2: Recognize the pattern
This is a perfect square trinomial pattern, which is (a - b)^2 = a^2 - 2ab + b^2.

Step 3: Factorise the expression
Comparing the given expression with the pattern, we can say that a = k and b = 3. Therefore, the factorised form of the expression is (k - 3)^2.

So, k^2 - 6k + 9 = (k - 3)^2.

Knowee AI · Accepted Answer

Sure, here is the step-by-step solution:

Step 1: Identify the expression
The expression given is k^2 - 6k + 9.

Step 2: Recognize the pattern
This is a perfect square trinomial pattern, which is (a - b)^2 = a^2 - 2ab + b^2.

Step 3: Factorise the expression
Comparing the given expression with the pattern, we can say that a = k and b = 3. Therefore, the factorised form of the expression is (k - 3)^2.

So, k^2 - 6k + 9 = (k - 3)^2.

Factorise k2−6k+9 completely.

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