Question

The factorisation of -x^2 +5x -6 yields​

Answer 1

Answer:

-x^2+5x-6

-x^2+3x+2x-6

x(-x+3)-2(-x+3)

(-x+3) (x-2)

Answer 2

Answer.

• The factorisation of -x² + 5x - 6 yields -(x - 3)(x - 2)

Steps.

Given –

= -x² + 5x - 6

Taking -1 as common, we get,

= -(x² - 5x + 6)

By splitting the middle term, we get,

= -(x² - 2x - 3x + 6)

Taking x as common from first two terms, we get,

= -{x(x - 2) - 3x + 6)}

Taking -3 as common from last two terms, we get,

= -{x(x - 2) - 3(x - 2)}

Taking (x - 3) as common, we get,

= -(x - 3)(x - 2)

Which is our required answer.