Respuesta :

msm555

Answer:

Solution given:

x^3 - 2x^2 -x+2

take common from two each term

x²(x-2)-1(x-2)

take common again and keep left one on other bracket

(x-2)(x²-1) or (x-1)(x+1)(x-2) is a required answer.

note:using formula a²-b²=(a+b)(a-b) for x²-1.

Tekashii

Answer:

[tex](x - 1)(x + 1)(x - 2)[/tex]

Step-by-step explanation:

[tex]x^3 - 2x^2 - x + 2[/tex]

  • Take x² common from first two terms.

[tex]=> x^2(x - 2) -1(x - 2)[/tex]

  • Take (x - 2) common from whole expression.

[tex]=> (x - 2)(x^2 - 1)[/tex]

  • Factorise (x² - 1) by using the identity → (a² - b²) = (a + b)(a - b)

[tex]=> (x - 2)(x + 1)(x - 1)[/tex]

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