Question

Розкладіть на множники x2+4xy+4y2-25ПОМОГИТЕ ​

Answer 1

Ответ:

Объяснение:

x²+4xy+4y²-25=(x+2y)²-5²=(x+2y-5)(a+2y+5)

Answer 2

Factoring a Quadratic Expression

To factor the quadratic expression \(x^2 + 4xy + 4y^2 - 25\), we can use the following steps:

1. Identify the type of the quadratic expression. 2. Use the appropriate factoring method to factor the expression.

Identifying the Type of Quadratic Expression

The given expression is a quadratic expression in terms of \(x\) and \(y\), and it is in the form of a perfect square trinomial. A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial.

Factoring the Quadratic Expression

The given expression \(x^2 + 4xy + 4y^2 - 25\) can be factored using the following steps:

1. Identify the perfect square trinomial pattern: \(a^2 + 2ab + b^2 = (a + b)^2\). 2. Apply the perfect square trinomial pattern to factor the expression.

The factored form of the given expression is:

\[ (x + 2y - 5)(x + 2y + 5) \]

This is the factored form of the quadratic expression \(x^2 + 4xy + 4y^2 - 25\).

Note: The factoring method used here is based on recognizing the perfect square trinomial pattern and applying it to factor the given expression.

I hope this helps! If you have any further questions or need additional assistance, feel free to ask.