Question

factorise x-9-(x-9)^2+xy-9y

Answer 1

Step-by-step explanation:

x-9-(x^2+81-18x)+xy-9y

x-9-x^2-81+18x+xy-9y

-x^2-9y+xy+19x-90

x^2+9y-xy-19x+90

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Answer 2

The factorisation of x - 9 - $(x - 9)^{2}$ + xy - 9y is  "(x - 9)(- x + y + 10)".

Step-by-step explanation:

We have,

x - 9 - $(x - 9)^{2}$ + xy - 9y

= (x - 9) - $(x - 9)^{2}$ + y(x - 9)    ..... (1)

Taking (x - 9) as common in equation (1), we get

= (x - 9){1 -(x - 9) + y}

= (x - 9){1 - x + 9 + y}

= (x - 9)(- x + y + 10)

Hence, the factorisation of x - 9 - $(x - 9)^{2}$ + xy - 9y is "(x - 9)(- x + y + 10)".