Sure, here are the steps to factorise the given expression:

1. The given expression is 25y^2 + 60y + 36.

2. We can write this as (5y)^2 + 2*5y*6 + (6)^2, which is a perfect square trinomial.

3. The formula for a perfect square trinomial is (a+b)^2 = a^2 + 2ab + b^2.

4. Comparing the given expression with the formula, we can see that a = 5y and b = 6.

5. Therefore, the factorised form of the given expression is (5y + 6)^2.

Question

Sure, here are the steps to factorise the given expression:

1. The given expression is 25y^2 + 60y + 36.

2. We can write this as (5y)^2 + 2*5y*6 + (6)^2, which is a perfect square trinomial.

3. The formula for a perfect square trinomial is (a+b)^2 = a^2 + 2ab + b^2.

4. Comparing the given expression with the formula, we can see that a = 5y and b = 6.

5. Therefore, the factorised form of the given expression is (5y + 6)^2.

Knowee AI · Accepted Answer

Sure, here are the steps to factorise the given expression:

1. The given expression is 25y^2 + 60y + 36.

2. We can write this as (5y)^2 + 2*5y*6 + (6)^2, which is a perfect square trinomial.

3. The formula for a perfect square trinomial is (a+b)^2 = a^2 + 2ab + b^2.

4. Comparing the given expression with the formula, we can see that a = 5y and b = 6.

5. Therefore, the factorised form of the given expression is (5y + 6)^2.

Factorise 25y2+60y+36 completely.