Use the perfect square trinomial to factor each expression: 4x^2+20x+25
try (2x+5)(2x+5)
That doesn't match the answer in the back of the book and I would like to know how to do the problem thank you
Its is (2x+5)^2... That's the correct Factorized answer
To factor the expression 4x^2 + 20x + 25 using the perfect square trinomial, follow these steps:
Step 1: Identify if the trinomial can be factored as a perfect square trinomial.
In this case, the trinomial 4x^2 + 20x + 25 can be factored as a perfect square trinomial because the coefficient of the x^2 term (4) is a perfect square (2 * 2 = 4).
Step 2: Take the square root of the first and third terms in the trinomial.
The square root of 4x^2 is 2x, and the square root of 25 is 5.
Step 3: Use the formula for a perfect square trinomial: (a + b)^2 = a^2 + 2ab + b^2.
Write the factors using the square roots from Step 2:
(2x + 5)^2
So, the factored form of the expression 4x^2 + 20x + 25 using the perfect square trinomial is (2x + 5)^2.