What is factor (ax-1)(ax-a-1)(x+1)+a ?

The solution to factor (ax-1)(ax-a-1)(x+1)+a is a^2x^3-2ax^2-a^2x-ax+x+2a+1

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factor (ax-1)(ax-a-1)(x+1)+a

factor

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

a^{2} x^{3} - 2 a x^{2} - a^{2} x - a x + x + 2 a + 1

Solution steps

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

Expand

(a x - 1) (a x - a - 1) (x + 1) : a^{2} x^{3} - a^{2} x - 2 a x^{2} - a x + a + x + 1

= a^{2} x^{3} - a^{2} x - 2 a x^{2} - a x + a + x + 1 + a

Simplify

a^{2} x^{3} - a^{2} x - 2 a x^{2} - a x + a + x + 1 + a : a^{2} x^{3} - 2 a x^{2} - a^{2} x - a x + x + 2 a + 1

= a^{2} x^{3} - 2 a x^{2} - a^{2} x - a x + x + 2 a + 1

(x - y)^{2} + (x - y) - 2

3 m + m x - 3 n - n x

(x^{3} y^{4}) 2

117

x^{2} + 0 x - 3

What is factor (ax-1)(ax-a-1)(x+1)+a ?
The solution to factor (ax-1)(ax-a-1)(x+1)+a is a^2x^3-2ax^2-a^2x-ax+x+2a+1