Sure, here is the step-by-step solution to factorize the given expression:

1. The given expression is 16k^2 + 40k + 25.

2. We can see that the expression is in the form of a^2 + 2ab + b^2, which can be factorized as (a + b)^2.

3. Here, a^2 is 16k^2, 2ab is 40k, and b^2 is 25.

4. So, a is 4k (since (4k)^2 = 16k^2) and b is 5 (since 5^2 = 25).

5. Therefore, the factorized form of the given expression is (4k + 5)^2.

Question

Sure, here is the step-by-step solution to factorize the given expression:

1. The given expression is 16k^2 + 40k + 25.

2. We can see that the expression is in the form of a^2 + 2ab + b^2, which can be factorized as (a + b)^2.

3. Here, a^2 is 16k^2, 2ab is 40k, and b^2 is 25.

4. So, a is 4k (since (4k)^2 = 16k^2) and b is 5 (since 5^2 = 25).

5. Therefore, the factorized form of the given expression is (4k + 5)^2.

Knowee AI · Accepted Answer

Sure, here is the step-by-step solution to factorize the given expression:

1. The given expression is 16k^2 + 40k + 25.

2. We can see that the expression is in the form of a^2 + 2ab + b^2, which can be factorized as (a + b)^2.

3. Here, a^2 is 16k^2, 2ab is 40k, and b^2 is 25.

4. So, a is 4k (since (4k)^2 = 16k^2) and b is 5 (since 5^2 = 25).

5. Therefore, the factorized form of the given expression is (4k + 5)^2.

Factorise 16k2+40k+25