Question

x^3 - x^2 + ax + x - a - 1

Answer 1

Hi...☺

Here is your answer...✌

Q. Factorise :

x^3 - x^2 + ax + x - a - 1

Sol.

${x}^{3} - {x}^{2} + ax + x - a - 1 \\ \\ = ( {x}^{3} - {x}^{2} ) + (ax - a) + x - 1 \\ \\ = {x}^{2} ( x - 1) + a(x - 1) + 1(x - 1) \\ \\ = (x - 1)( {x}^{2} + a + 1)$

Answer 2

Answer:

(x-1) (x^2+a+1)

Step-by-step explanation:

rearrange the expression

(x^3-x^2) (+ax-a) (+x-1)

take all the common factors out

x^2 (x-1) + a (x-1) +1 (x-1)

=(x-1) (x^2+a+1)