Question

Factorise: x²-2x²-x+2
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Answer 1

Answer and Step-by-step explanation:

To factorize the expression x²-2x²-x+2, let's group the terms:

x² - 2x² - x + 2

Rearranging the terms, we get:

-2x² + x² + 2 - x

Combining like terms, we have:

(-2x² + x²) + (2 - x)

Simplifying further, we get:

-x² + 2 - x

Now, let's factorize the expression:

We can factor out a common negative sign from the first two terms:

-1(x² - 2) - x

Now, we can factor out a common negative sign from the last two terms:

-1(x² - 2) + (-1)(x)

Finally, we can factor out a common binomial factor from both terms:

(x² - 2) + (-1)(x)

Therefore, the factored form of the expression x²-2x²-x+2 is:

(x² - 2) - x

In conclusion, the factored form of the expression is (x² - 2) - x.

Answer 2

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

Explanation:

x²-2x²-x+2

Solve like terms

-x²-x+2

Taking -1 common

-1(x²+x-2)

Doing middle term factorization

-1(x²+(2-1)x-2)

-1(x²+2x-x-2)

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

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

Therefore, Factorization form is -1(x+1)(x-1)