Factorise y2+10y+25 completely.
Question
Factorise y2+10y+25 completely.
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Solution
Sure, here is the step by step solution:
Step 1: Identify the equation. In this case, it is y^2 + 10y + 25.
Step 2: Recognize that this is a perfect square trinomial. A perfect square trinomial is a trinomial that can be written as a square of a binomial.
Step 3: The general form of a perfect square trinomial is (a+b)^2 = a^2 + 2ab + b^2. In our case, a is y, b is 5, because (y+5)^2 = y^2 + 25y + 5^2 = y^2 + 10y + 25.
So, the factorization of y^2 + 10y + 25 is (y+5)^2.
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