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kicyunya [14]
2 years ago
14

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

Mathematics
2 answers:
tankabanditka [31]2 years ago
5 0

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

<u>(x-2)(x²-1) or (x-1)(x+1)(x-2)</u> is a required answer.

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

Dahasolnce [82]2 years ago
5 0

Answer:

(x - 1)(x + 1)(x - 2)

Step-by-step explanation:

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

  • Take x² common from first two terms.

=> x^2(x - 2) -1(x - 2)

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

=> (x - 2)(x^2 - 1)

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

=> (x - 2)(x + 1)(x - 1)

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