Question

Разложиа на множители трехчлен x^2-7y+6y^2 представив предварительно один из его членов в иде суммы подобных слагаемых.

Answer 1

Х²+8х+12=х²+6х+2х+12=х(х+6)+2(х+6)=(х+2)(х+6)х²-5х+4=х²-х-4х+4=х(х-1)-4(х-1)=(х-4)(х-1)х²+3х-18=х²+6х-3х-18=х(х+6)-3(х+6)=(х-3)(х+6)

Answer 2

Factoring a Trinomial and Representing One of Its Terms as a Sum of Similar Terms

To factor the trinomial x^2 - 7y + 6y^2, we can first represent one of its terms as a sum of similar terms and then proceed with factoring.

First, let's represent one of the terms in the trinomial as a sum of similar terms. From the provided search results, we have the following relevant information:

From Source - 1) 1 1 x2 + 2 + 3 x + = 8.

From Source - 3. : 5x - 12z (x - y) - 5y = (x - y) (5 - 12z).

Based on the provided search snippets, we can represent one of the terms in the trinomial as a sum of similar terms. Now, let's proceed with factoring the trinomial.

Factoring the Trinomial

The trinomial x^2 - 7y + 6y^2 can be factored as follows:

x^2 - 7y + 6y^2 = (x - 2y)(x - 3y)

Therefore, the trinomial x^2 - 7y + 6y^2 can be factored as (x - 2y)(x - 3y).

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