Respuesta :

Notice that x is a common factor for the first two terms, and that -3 is a common factor for the last two terms. Factor them out from the expression:

[tex]x^2+2x-3x-6=x(x+2)-3(x+2)[/tex]

Now it is clear that the binomial (x+2) is a common factor for the expression. Factor out (x+2):

[tex]x(x+2)-3(x+2)=(x-3)(x+2)[/tex]

Therefore, the answer is:

[tex](x-3)(x+2)[/tex]

devishri1977

Answer:

(x + 2)(x -3)

Step-by-step explanation:

x² + 2x - 3x - 6

In the expression (x² + 2x), x is the common factor, and take the common factor out. In the same way, (-3x - 6), (-3) is the common factor and take the common factor fromthe expression (-3x -6).

x² + 2x - 3x - 6 =  (x*x + 2*x) - 3x - 3*2

                          = x(x + 2) -3(x + 2)  {Now, the common factor is (x +2)}

                         =(x + 2)(x - 3)

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